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The phrase "a formal written protocol" is correct and usable in written English.
You can use it when referring to a structured document that outlines procedures or guidelines in a formal manner.
Example: "Before starting the experiment, we must adhere to a formal written protocol to ensure consistency and accuracy in our results."
Alternatives: "an official written procedure" or "a documented formal guideline".
Exact(2)
In the management of patients, only 31 (22%) respondents indicated that there was a formal written protocol in place for temperature control among febrile patients in their ICUs.
Only 31 (22%) of respondents indicated that there was a formal written protocol for temperature control among febrile patients in their ICUs.
Similar(58)
A standardized treatment protocol has been devised (SC) based on the literature and on the results of a formal written survey we conducted involving 10 musculoskeletal physiotherapists around Australia, considered by the profession to be experts in treating shoulder conditions.
A formal written proposal is required.
Israel does not have a formal written constitution.
The family received a formal written apology, signed by Gerald Ford.
PEC develops a formal written Strategic Plan and submits to agency executives for approval.
A formal written report is prepared by the radiologist with conclusions, including recommended further steps.
A formal written report is always prepared by the radiologist with conclusions, including recommended further steps.
Ms Schiavo did not have a formal, written, executed advance directive.
"That should be part of a written protocol going forward".
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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