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The phrase "cannot be varied for" is grammatically correct and can be used in written English.
It means that something cannot be changed or altered in any way for a specific purpose or reason. Example sentence: The rules for the competition cannot be varied for any individual participant, as they must be applied equally to all.
Similar(60)
But these attributes are the result of patterns of instinctive behaviour and cannot be varied to suit rapidly changing circumstances.
A quotation is a firm and definite price for the job that cannot be varied.
It must not be overlooked, however, that some of the conditions cannot be varied, and their effects cannot therefore be examined in this way.
When looking for factors that could be varied in order to reduce or prevent mastitis in lactating women it is obvious that demographic factors cannot be changed.
Commonly employed one-at-a-time local sensitivity analyses (where only one parameter is varied while the others are kept constant) cannot account for these interactive effects.
These tumours present major challenges for clinical management since their behaviour is varied and cannot be predicted by conventional techniques.
Their stories are varied and cannot be explained with one narrative.
The reasons for homelessness are varied.
The reasons for this are varied.
Rosenstiel believes the reasons for this are varied.
The options for Wyotana buyers are varied.
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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