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The phrase "cases depending on" is correct and usable in written English.
You can use it when referring to situations that vary based on particular criteria or conditions. For example: "The punishment for the offense will vary in different cases depending on the severity of the act."
Exact(60)
However, several doctors emphasized that platelet-rich plasma therapy as it stands now appeared ineffective in about 20 to 40percentt of cases, depending on the injury.
New York State law allows 10 to 20 peremptory challenges per side in felony criminal cases, depending on the severity of the charges.
Next we distinguish some cases depending on the complete set.
We observe three cases depending on the μ-barycenter a.
We consider two cases depending on the order α.
Values may vary on special cases depending on clinical application.
However, we have to distinguish between three cases depending on.
We consider two cases, depending on whether or not the family contains the empty set.
We have computed the results for three different cases depending on the direction of moving walls.
Here we consider two cases depending on the type of the noise.
We must consider two cases depending on (M^{prime}={ ninmathbb{N} gx_{n}=u }).
More suggestions(16)
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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