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The phrase "able to work out" is correct and usable in written English.
It can be used when discussing someone's capability to solve a problem or reach a conclusion.
Example: "After several attempts, she was finally able to work out the solution to the complex equation."
Alternatives: "capable of figuring out" or "able to resolve".
Exact(60)
"I haven't been able to work out," she said.
"There's a paradox I've never been able to work out," he said.
I was fortunate enough to be able to work out and train with Jerry Rice.
"I'm able to work out, lift, and don't have any pain.
Because of that imbalance, "we were able to work out decent freight rates," Mr. Wilcha said.
Dr. Shapiro and his colleagues have been able to work out the genealogy of these breeds.
They haven't been able to work out a satisfactory name for the business.
"The problem was they had no machine able to work out sapphire components.
Fans of 1960s British comedy will be able to work out why.
The truth was, he hadn't been able to work out for weeks.
Ideally, they should be able to work out instantly the winnings on any combination of bets.
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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