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The phrase "arms length relationship" is correct and usable in written English.
It is typically used in legal, business, or financial contexts to describe a relationship where the parties involved act independently and without influence from one another.
Example: "To ensure fairness in the transaction, both parties maintained an arms length relationship throughout the negotiation process."
Alternatives: "independent relationship" or "detached relationship".
Exact(3)
Two of these are based on a traditional arms' length relationship in the design and execution phases.
I suspect the arms' length relationship my father and I carried out over the years was partly due to his disabilities.
He said it would be a "close relationship" but also "an arms length relationship". It became evident that merging different organisations was proving to be a huge challenge.
Similar(57)
To investigate the arm length relationship with sub-telomere interactions, we computed the mean interaction frequencies between all sub-telomere pairs for both the normalized and original data.
Mr. Baldeo has had an arms-length relationship with Queens Democrats for some time.
The close relationship suggested by the e-mails contrasts with the more arms-length relationship public interest groups say they've experienced when they try to influence USTR officials.
Nurses and midwives, it says, need to bear in mind from the outset that they must maintain a dignified and arms-length relationship with the public.
The lab that certifies gambling equipment has an arms-length relationship with the manufacturers it polices, and is open to inquiries from the public.
"Twitter has transformed my relationship with the people I filmed," said Siok. "As a TV producer, I had more of an arms-length relationship with my interviewees.
Europeans are accustomed to cozy cohabitation between politicians and businessmen; Americans tend to insist on at least the appearance of an arms-length relationship.
THE fact that Germany has never voted a black man into Parliament is an indication of the sometimes arms-length relationship Germany has with its minorities.
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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