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The phrase 'vary depending upon' is correct and usable in written English.
You can use it when talking about how something changes or is different depending on different factors. For example, "The prices of these items vary depending upon the size and quantity that you purchase."
Exact(60)
And definitions of abuse or neglect vary depending upon which agency has oversight.
Legal fees also vary, depending upon the complexity of the transaction.
"The cost of the system will vary depending upon the components used, the complexity of the installation, and the cost of local labor," he said.
Price may vary depending upon customer upgrade eligibility requirements.
Such judgments will vary depending upon changing circumstances.
The most common primaries vary depending upon gender.
Important Notes: Effect of SRT enhancements may vary depending upon the input signal and content quality.
They vary, depending upon the investment, and can diminish your overall performance. .
Rates of plagiarism would vary depending upon faculty writers' disciplines, gender, and stages of career.
Thus, the diffusion length of adatoms can vary depending upon the annealing temperature.
But a voxel's utility or importance would vary depending upon the registration task at hand.
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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