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Discover LudwigSuggestions(5)
"conclude the following" is a correct and usable phrase in written English.
You can use it when you want to prompt someone to draw a conclusion based on the information or statements that have been presented to them. For example: "Based on the evidence presented, can you conclude the following: Was the suspect at the scene of the crime?" "In order to complete the assignment, please read the article and conclude the following: What is the main theme of the author's argument?" "After analyzing the data, we can safely conclude the following: Our sales have increased by 25% in the last quarter."
Exact(60)
Following Proposition 9 (see [10]) and Theorem 3.3, we conclude the following.
You might conclude the following.
Therefore, we conclude the following.
Thus, we can conclude the following theorem.
Similarly, we conclude the following lemma.
Therefore, we can conclude the following.
From Eq. 10, we conclude the following.
We immediately conclude the following corollaries.
As a summary, we conclude the following.
Now, we conclude the following corollaries.
Thus for the problem (4), we can conclude the following.
More suggestions(18)
make the following
evaluate the following
conclusions the following
ascertain the following
identify the following
establish the following
engage the following
achieve the following
establishing the following
wind the following
concludes the following
concluded the following
gather the following
conducting the following
concluding the following
implement the following
discover the following
completed the following
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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