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Discover Ludwig"arm's length" is a correct and usable phrase in written English.
It is used to describe a situation in which two or more parties interact at a distance, with no emotional involvement or investment. For example: "The married couple maintained an arm's length relationship, rarely interacting with each other."
Dictionary
arm's length
noun
A distance approximately equal to the length of a human's arm.
Exact(51)
As for "regret"... well that's something even more arm's length.
At critical arm's length?
Them - an arm's length word.
Arm's length will never do.
Dallaglio, too, kept today at arm's length.
The arm's length principle goes back decades.
Similar(9)
"The transaction was completely arm's-length," he said.
This is not an arm's-length project for the president.
Arm's-length transaction?
But are these really arm's-length deals?
Any non-arm's-length transactions are ignored.
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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