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Discover Ludwig"work this out" is a perfectly acceptable phrase in written English.
You can use it when you are asking someone to solve a problem or figure something out. For example: "Let's work this out together; I'm sure we can find a solution to this issue."
Exact(59)
He wanted to work this out".
"Elliot and I will work this out".
We have to try to work this out together.
No body can work this out with the word "tiger".
"We're going to work this out," he said.
Pete felt bad we couldn't work this out".
He will work this out in the family".
But perhaps she will work this out for herself.
"We have nine months to work this out".
Please allow them their privacy to work this out".
"We can work this out, applying European Union principles".
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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