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Discover LudwigThe phrase "hard to prove" is correct and usable in written English.
You can use it when you want to emphasize the difficulty of something. For example, "His innocence is hard to prove in the face of such strong evidence."
Exact(56)
Also hard to prove.
"It's hard to prove".
Hard to prove definitively.
Granted, that proposition is hard to prove.
It is also hard to prove.
It was hard to prove her wrong.
That charge is hard to prove.
His contention is hard to prove.
But attribution is hard to prove.
This makes it especially hard to prove.
But this is hard to prove.
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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