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The phrase "only valid for" is correct and usable in written English.
You can use it to describe something that has a limited or restricted applicability or validity. For example, "This discount coupon is only valid for purchases of $50 or more."
Exact(58)
(This package is only valid for Sunday through Tuesday arrivals).
But bear in mind these tickets are usually only valid for a year.
"Yes, sir, a stop payment on a check is only valid for six months".
However, these results are only valid for the analyzed cases.
Stokes' law is only valid for a single sphere.
However, available methods are only valid for ideal mixtures.
Some vouchers are only valid for nine or 10 months.
In fact the results in [10] are only valid for.
Corollary 3.3 is only valid for ω ∈ ( 0, 1 2 ).
This is only valid for the PHYDYAS filter.
This result is only valid for the azimuth angle considered.
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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