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The phrase "equally impossible" is correct and usable in written English, and can be used when one is comparing two things that are equally impossible to achieve.
For example: "Buying a house in the city at this budget is impossible, and finding a place in a good school district is equally impossible."
Exact(60)
And controlled experiments are equally impossible.
Equally impossible is perpetual acceleration or perpetual retardation.
To part from them for life, without pain, is equally impossible.
Bodies then of infinite weight and of infinite lightness are equally impossible.
No, the real solution is equally simple and equally impossible: build more houses.
When it comes to our online outpourings, forgetfulness is equally impossible.
Mr. Dittemore said it was equally impossible to anoint any particular theory as a leading candidate.
Changing jobs is equally impossible: according to Qatari law employers must issue a "non-objection certificate".
But, on the other hand, it is equally impossible that the elements should be generated from some kind of body.
Not only is wellness a tough one to define, but its terminology can be equally impossible to interpret.
However, since being mindless or brainless are equally impossible positions, the pendulum always would peak, then begin its reversal.
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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