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The phrase "a central function of" is correct and usable in written English.
It can be used to describe a primary or essential role that something plays within a particular context or system.
Example: "Communication serves as a central function of effective teamwork, ensuring that all members are aligned and informed."
Alternatives: "a key role of" or "a primary purpose of".
Exact(30)
It is a central function of a democracy to protect the rights of the oppressed and the disenfranchised.
Normally, a central function of adenosine is to inhibit the release of various chemicals into the brain, lowering energy levels and promoting sleep, among other regulatory bodily functions.
They address a central function of the Ivy League: the communication of a certain idea of American heritage, to which the campuses of Yale and Princeton, with their Gothic spires and soaring archways, are monuments.
The investigation of crimes was not a central function of the early preventive police departments in England and the United States.
"A central function of the chamber," it told the Supreme Court in a recent brief, "is to represent the interests of its members in important matters before the courts".
In contrast, a central function of evidence is to make evident that which would not be so in its absence.
Similar(29)
uPAR has a central function, because binding of the zymogen pro-uPA initiates activation of cell surface bound plasminogen leading to other proteolytic events in the extracellular matrix (Ellis et al, 1989).
Of note, recombination related processes have a central function in the recovery of stalled or collapsed replication forks in both bacteria and eukaryotic cells [ 10, 72].
Manganese has a central function in the regulation of stress responses, physiology, and metabolism in prokaryotes [ 58] and also to be pivotal in pathogenesis [ 59].
Sequential activation of caspases can have a central function in the execution phase of cell apoptosis.
They have a central function in proliferation and differentiation of normal tissue as well as in oncogenic transformation and tumour progression.
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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