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"work out" is a correct and commonly used phrase in written English
It can be used in several different contexts. Here are a few examples: 1. As a phrasal verb meaning to solve or figure out: "I couldn't work out the math problem on my own, so I asked my teacher for help." 2. As a noun meaning a physical activity or exercise routine: "I always feel energized after a good workout at the gym." 3. As a phrasal verb with the meaning of exercising or staying fit: "I try to work out at least three times a week to stay in shape." 4. As a noun or adverb meaning the final result or outcome of a situation: "We'll have to wait and see how things work out before making any decisions." 5. As a phrasal verb meaning to come to a decision or agreement: "After a long discussion, we finally worked out a compromise that satisfied both parties."
Dictionary
Exact(60)
Work out compromises.
Work out every morning.
Work out timeframes.
Work out with friends.
Work out at school.
Work out together.
Work out a lot.
Work out at home.
Work out the details.
Work out, eat well.
Work out seating.
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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