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The phrase "are various variations of" is correct and usable in written English.
It can be used when discussing different forms or versions of a particular concept, idea, or item.
Example: "In the world of music, there are various variations of the same melody that showcase different styles and interpretations."
Alternatives: "there are multiple versions of" or "there are several forms of".
Exact(1)
"There are various variations of proposals and getting CBO numbers on the variations is what we're trying to do.
Similar(59)
There were several variations of this approach.
The inter-die parameter fluctuations which are caused by various variations of lot-to-lot, wafer-to-wafer and die-to-die can affect every element on a chip equally [16].
There are various styles, most of them variations on flip-flops or slip-ons.
There are various likely sources of extra-variation in the estimated risk difference.
However, we note that the gamification terminology is still unsettled and various variations of the introduced above terms exist.
Second, the shifting processes of primary flow by secondary flows were investigated in detail by evaluating various variations of the dimensionless scour factor A.
Various variations of that form".
Theories of desert are various.
There are many variations of the ant colony optimization applied on various classical problems.
There are many variations of these.
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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