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The phrase "a mutually agreed" is correct and usable in written English.
It can be used when referring to a decision or arrangement that has been accepted by all parties involved.
Example: "The terms of the contract were finalized after a mutually agreed discussion between both parties."
Alternatives: "a jointly accepted" or "a collectively decided".
Exact(51)
There was a chance for a mutually agreed cease-fire.
Fellows will be encouraged to participate in a mutually agreed upon Foundation event, as appropriate.
Like Kim, Petraeus, by a mutually agreed statement of facts, lied to his FBI interviewers.
"The parties can agree to use a mutually agreed upon independent appraiser," Mr. Bohn said.
Arriving at a mutually agreed figure for damages may come down to the dolphins.
Not one of the parties has approached Australia to resolve the case through a mutually agreed solution," the diplomat said.
Similar(8)
Further, the company will now conduct independent testing, by a mutually agreed-upon laboratory, for any new products claiming to be "low calorie," "low fat," or "fat-free".
Contextual privacy is a business practice in which the collection and use of personal data is consensual, within a mutually agreed-upon context, for a mutually agreed-upon purpose.
To continue to grow, these supply chains need an update of a mutually agreed-upon regulatory and policy infrastructure.
Instead, the main task involves getting data experts from both agencies to work together under a mutually agreed-on framework.
The senators have been meeting two to four times a week since December, each session focusing on a mutually agreed-upon agenda.
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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