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The phrase "a primary determinant" is correct and usable in written English.
It can be used when discussing the main factor or influence that determines an outcome or result in a particular context.
Example: "In this study, socioeconomic status was identified as a primary determinant of educational achievement."
Alternatives: "a key factor" or "a major influence".
Exact(60)
For much of the country, with its penchant for arranged marriages and close family ties, caste is still a primary determinant in choosing a spouse.
Spore core dehydration is a primary determinant of heat resistance.
A primary determinant in the valuation of options.
After stroke preventive treatments are a primary determinant to avoid a recurrent cardiovascular event.
That's a primary determinant of how much energy you're going to get.
Volatility is used as a primary determinant in the valuation of options premiums and time value.
Excessive endogenous glucose production by gluconeogenesis is a primary determinant of hyperglycemia in patients with type 2 diabetes.
These results suggest an interplay between mitochondrial dysfunction and epigenetic alterations, which may be a primary determinant of DOX-induced cardiotoxicity.
Therefore, viral gene expression is a primary determinant of intermediate and chronic toxicities at day 3 and week 4 post-injection.
Because microparticle size is a primary determinant of drug release, we developed a methodology for controlling release kinetics employing monodisperse poly d,l-lactide-co-glycolide) (PLG) microspheres.
Our results suggest that the dietary FA content and composition may be a primary determinant of diastolic, but not systolic, dysfunction in animal models of diet-induced obesity.
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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