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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
and hence are
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "and hence are" is grammatically correct and commonly used in written English.
It is used to express a cause and effect relationship between two ideas. It can be used to show that the second idea is a result or consequence of the first idea. Example: "I have studied hard for my exams, and hence, I am confident that I will do well." In this example, "and hence" connects the two ideas and emphasizes that the speaker's confidence is a direct result of their hard work. It can also be written as "and therefore" with the same meaning.
✓ Grammatically correct
Science
News & Media
Encyclopedias
Alternative expressions(3)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
60 human-written examples
and hence are treated as income on the Fafsa.
News & Media
Virtually all pituitary tumours are benign and hence are adenomas.
Encyclopedias
They hold life cheaply, and hence are able to entertain generous thoughts about the state.
News & Media
Most of these only address temperature (the symptom) rather than CO2 (the cause) and hence are not a real fix.
News & Media
"Boys and young men are prone to make such mistakes and hence are excluded from the stealth parties".
News & Media
What will become of "responsible citizens" who cannot sense these threats produced by civilisation, and hence are robbed of their sovereign judgment?
News & Media
But this might also lead one to conclude that populists live in a kind of political fantasy world and hence are bound to fail in practice.
News & Media
They appear comfortable playing their shots and hence are more likely to have success employing this method.
News & Media
Pictures, similarly, may represent events but do not represent language and hence are not a form of writing.
Encyclopedias
These highly specialized birds feed almost exclusively on fruits, supplying fruit even to their nestlings, and hence are called frugivores.
Encyclopedias
Feather tracts differ in arrangement in different species and hence are useful in the classification of birds.
Encyclopedias
Expert writing Tips
Best practice
Use "and hence are" to clearly establish a cause-and-effect relationship between two clauses, ensuring a logical flow of ideas within your writing.
Common error
Avoid using "and hence are" in very casual or informal writing. Simpler alternatives like "so" or "that's why" may be more appropriate for a conversational tone.
Source & Trust
82%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "and hence are" functions as a conjunctive adverbial phrase. It connects two clauses, indicating that the second clause is a logical consequence or result of the first. Ludwig AI confirms its grammatical correctness and frequent usage.
Frequent in
Science
57%
News & Media
25%
Encyclopedias
5%
Less common in
Formal & Business
5%
Wiki
3%
Social Media
0%
Ludwig's WRAP-UP
In summary, "and hence are" is a grammatically correct and frequently used phrase for establishing cause-and-effect relationships. Ludwig's AI confirms its validity and common occurrence across various sources. While versatile, it leans towards a more formal tone, making it suitable for academic, scientific, and professional writing. When aiming for casual communication, consider more informal alternatives like "so" or "that's why". Understanding its function and context ensures effective and appropriate use in your writing.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
and therefore are
This alternative directly substitutes "hence" with "therefore", maintaining a formal tone but with a slightly stronger emphasis on the consequence.
and thus are
Replaces "hence" with "thus", providing a slightly more concise and formal alternative.
consequently, they are
This option uses "consequently" to begin a new clause, offering a more emphatic and formal way to express the result.
as a result, they are
Replaces the conjunction with a prepositional phrase, slightly changing the sentence structure and providing a clearer indication of cause and effect.
because of this, they are
Emphasizes the causal relationship more explicitly using "because of this", adding a slight variation in tone.
for this reason, they are
Similar to "because of this", but offers a more formal and reasoned tone.
that's why they are
Provides a more informal and direct way to express the reason for the subsequent statement.
this implies they are
Focuses on the implication or logical consequence of the preceding statement.
it follows that they are
Offers a formal and logical deduction, highlighting the necessary consequence.
so, they are
Provides a very short and informal alternative, suitable for casual contexts.
FAQs
How can I use "and hence are" in a sentence?
Use "and hence are" to link two related ideas where the second is a direct result of the first. For example, "The data was carefully analyzed, and hence are the study's conclusions reliable."
What are some alternatives to "and hence are"?
You can use alternatives like "and therefore are", "and thus are", or "consequently, they are" depending on the desired level of formality.
Is it correct to use "and hence is" instead of "and hence are"?
The correct form depends on the subject's number. Use "and hence is" with singular subjects (e.g., "The result is significant, and hence is further research needed"). Use "and hence are" with plural subjects (e.g., "The results are significant, and hence are further studies justified").
What's the difference between "and hence are" and "because of this, they are"?
"And hence are" provides a more concise and formal link between cause and effect. "Because of this, they are" is more explicit, emphasizing the cause-and-effect relationship more strongly.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
82%
Authority and reliability
4.5/5
Expert rating
Real-world application tested