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The phrase "are consequently required" is correct and usable in written English.
It can be used to indicate that something is necessary as a result of a previous statement or condition.
Example: "Due to the changes in regulations, additional safety measures are consequently required to ensure compliance."
Alternatives: "are therefore necessary" or "are thus mandated".
Dictionary
are consequently required
adverb
As a result or consequence of something.
synonyms
Exact(1)
Effective metrics are consequently required for defense against Sybil attack.
Similar(59)
The team is consequently required to add 30 pounds of ballast.
PCR amplification was consequently required to verify the presence and precise boundaries of the IRs.
Further research is consequently required so as to ensure the reliability and validity of the translated version.
In conclusion, we propose that Cep126 regulates key centrosomal functions and is consequently required for correct intracellular organisation.
Further analysis is consequently required to determine the complex interplay between the various factors involved in rates of mutation and selection across the human genome.
The canonical NF-κB pathway is active in normal luminal progenitor cells and is consequently required for the formation of mammary epithelial tumours [ 32].
A significant enrichment of genomic resources is consequently required in order to understand the genetic architecture of important agronomic traits, and to support germplasm enhancement, genetic diversity, population structure and demographic studies.
An ethics board approval for this study was consequently not required.
The obtained expression measures are consequently context-sensitive and require a minimum number of chips for appropriate data-processing (usually more than four).
This syndrome is related to the progressive impairment of health conditions and/or stressing events (ie, hospitalization), characterized by confusion and/or stupor, which are consequently difficult to manage and require a great deal of care.
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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