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Discover LudwigThe phrase 'varies on' is both correct and usable in written English
You can use this phrase to indicate that something is dependent upon a variable or changing factor. For example, "The amount of rainfall varies on the season."
Exact(60)
Heat it in the microwave for about 1 minute (varies on different microwaves).
"We've had fitness centers, but that varies on who really uses those things".
State law varies on signing procedures, though usually two witnesses are needed.
Land ownership varies on the Ice Age Trail; city, county, state, federal and private interests all claim parts.
The menu varies; on a recent Wednesday, the staff was preparing baked chicken wings and macaroni and cheese.
In any community, water demand varies on a seasonal, daily, and hourly basis.
As in English, judgment varies on what constitutes a word rather than a phrase.
That can be important, Mr. Teller said, because sometimes the form of your name varies on the mailing label.
Precipitation varies on Ascension; in the years that Bell was expanding the plantings it was particularly heavy.
Pricing, of course, varies on the size of the dog.
I think it varies on the subject of the magazine.
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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