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The phrase "are up working" is correct and usable in written English.
It can be used to indicate that someone is awake and engaged in work, often used in a context where the time is early or late.
Example: "Even though it's early in the morning, they are up working on the project."
Alternatives: "are awake and working" or "are busy working".
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"You could call him at 1 or 2 in the morning and he'd be up working".
The day was past noon, but the band had been up working so late the night before that they all had early-morning eyes.
She's been up, working on new music and preparing for upcoming shows, since 6AM.
Consider if you are up to working 7 days a week.
The Girolamini was undergoing renovations, he said, and he had been up late working.
It is up and working – albeit a bit slowly.
Once it is up and working on this limited basis, more satellites can be added.
Instead I'm up here working so hard.
I'm up front working final dry and detail.
However, there is little follow up work to the screen.
If you are up to it, work out.
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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