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Discover LudwigThe phrase 'is necessarily' is correct and can be used in written English.
You can use it whenever you indicate that something must be true or must happen in order for something else to occur. For example: "The success of this project is necessarily dependent on everyone's cooperation."
Dictionary
is necessarily
adverb
Inevitably; of necessity.
Exact(58)
Experience is necessarily temporal.
Neither is necessarily right.
It is, necessarily, white.
Literature is necessarily gratuitous.
The menu is necessarily limited.
But neither is necessarily quick.
The pessimist is necessarily conservative.
Business is necessarily limited.
The list (see below) is necessarily arbitrary.
This is necessarily a judgment call.
"My audience is necessarily very limited".
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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