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The phrase "and are impossible to" is correct and usable in written English.
It can be used to describe something that cannot be done or achieved, often following a statement about a particular situation or condition.
Example: "The tasks are overwhelming and are impossible to complete within the given timeframe."
Alternatives: "and cannot be" or "and are unachievable".
Exact(19)
"In short, California's prisons are bursting at the seams and are impossible to manage".
"Requirements have been imposed that make no sense in terms of prior jurisprudence and are impossible to interpret".
Many were originally sold for a few dollars or less, and are impossible to number as sales records weren't kept.
Now software programs are so huge that physical distribution relies on compact disks, which are stamped out in factories and are impossible to tinker with afterwards.
A spokeswoman for the NFU said: "Oil seed rape crops have been devastated and are impossible to grow in some areas of the country".
If so, the something is probably voles, which adore crocuses and are impossible to get rid of on a woods-wide scale.
Similar(41)
The graphic images offered few clues to their location or timing and were impossible to verify.
Washed-up oil would soak the porous stone and be impossible to clean, he added.
It took up a lot of room and was impossible to ignore.
The cells grew in blobs, not grids, and were impossible to train.
It came with substantial rust and was impossible to restart until the engine had cooled.
More suggestions(2)
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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