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The phrase "also impossible to do" is correct and usable in written English.
It can be used to express that something is not only difficult but also cannot be accomplished at all.
Example: "While the task is challenging, it is also impossible to do without the necessary resources."
Alternatives: "equally unfeasible" or "additionally unattainable".
Exact(2)
It is also impossible to do quickly.
Hegel's argument is the archetype of many, all aimed at showing that it is both necessary to distinguish form from content and also impossible to do so.
Similar(58)
But Hertz also confesses: "What it is impossible to do in this book is to give you one over-arching, catch-all strategy to follow.
Ad targeting can also be optimized by AI in ways that would be impossible to do manually.
But the difference here is not one of degree but of kind: "in the sense in which it is impossible to check an infinite number of propositions it is also impossible to try to do so" (PG 452).
3DE was also able to differentiate normal from abnormal LV compliance, which may be difficult or impossible to do using conventional 2DE [ 5].
Also, a CFD-based approach can evaluate complex flow problems in a way that is impossible to do, experimentally.
"It's impossible to do it".
And it's impossible to do both".
That is almost impossible to do.
"Without money it is impossible to do".
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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