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The phrase "also have been impossible" is correct and usable in written English.
It can be used to indicate that something has been impossible in addition to other previously mentioned impossibilities.
Example: "The tasks we were assigned have also been impossible to complete given the time constraints."
Alternatives: "have likewise been unfeasible" or "have additionally proven impossible."
Exact(2)
Meanwhile, Westchester has been able to raise $21 million through private donations for its children's hospital, something that would also have been impossible under the old county arrangement.
What most people don't realize is that, until the advent of LARCs (long-acting reversible contraceptives), modern methods also have been impossible for most people to use perfectly over time.
Similar(58)
The analysis would have been impossible if also subjects receiving vitamin D or calcium substitution were excluded.
It also created hopes around the world that may have been impossible to satisfy.
Without them it would have been impossible".
This would have been impossible.
It would have been impossible".
"This would have been impossible ten years ago".
This would have been impossible for an "outsider" to do.
Without their cooperation this study would have been impossible.
Some of the prominent figures from the Liberal Democratic Party who were interviewed may also have been Jewish, but it was impossible to identify them, at first glance, as anything but British politicians.
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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