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'this has proved' is correct and usable in written English.
It is used to indicate that something has been confirmed or shown to be true. For example: "This has proved to be an effective way to reduce emissions."
Exact(60)
This has proved hard.
But this has proved counterproductive.
This has proved quite difficult.
Unsurprisingly, this has proved ineffective.
This has proved challenging.
This has proved unfounded.
Work like this has proved all-consuming.
So far this has proved tricky.
This has proved a terrible distorting lens.
This has proved impossible to cover up.
But this has proved complicated.
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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