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The phrase "main determinant" is correct and usable in written English.
It is often used in academic or technical writing to refer to the most important factor or element that influences something. Example: "The main determinant of a country's economic growth is its level of investment in infrastructure."
Exact(60)
The main determinant of household sentiment is the state of the job market.
The other is that "smarter management," rather than "overwhelming financial resources," should be the main determinant of success.
But I also believe that his own experience should not be the main determinant of his party's position.
The main determinant of whether children work or attend school -- both across countries and across families -- is family income.
Fundamentalists believe that objective reality, and in particular economic reality, is the main determinant of who wins and who loses.
Furthermore, most analyses suggest that the main determinant of inflation is the state of the economy.
But in China, interest rates are not the main determinant of credit growth.
And concern about inflation is arguably the main determinant of long-bond yields.
The pattern of cork development is the main determinant of bark appearance.
That, Dr. Vogelstein said, "is unlikely to be the main determinant of her health".
The main determinant of guns per population member, as for cars per population member, is wealth.
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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