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The phrase "a method approved by" is correct and usable in written English.
You can use it when referring to a method that has received official approval or endorsement from a relevant authority or organization.
Example: "The study utilized a method approved by the ethical review board to ensure the safety of all participants."
Alternatives: "a method sanctioned by" or "a method endorsed by".
Exact(4)
"Calling an athlete's mobile phone is not a method approved by Ukad to try and locate an athlete.
Calling an athlete's mobile phone is not a method approved by Ukad to try and locate an athlete, as such it is not an argument against me that I slept with my phone on silent in order not to disturb a room mate.
"It's wanted, for a very long time, the EU to harmonise with US regulations and approaches to the production of food and it's exactly what it'll ask of the UK as well". Producers argue that it stops the spread of microbial contamination from the bird's digestive tract to the meat, a method approved by US regulators.
After the observation period, the remaining animals were humanely euthanized by CO2 asphyxiation, a method approved by the Panel on Euthanasia of the American Veterinary Medical Association.
Similar(56)
The implementation of new data regarding the performance of corrosion inhibitors is applied through a performance-based method approved by recent European standards for the probabilistic calculus of service life of reinforced concrete structures.
Subculture and phenotypic antimicrobial susceptibility testing was performed by using a broth microdilution method approved by the Clinical and Laboratory Standards Institute at the University of Alabama at Birmingham.
The target values were assigned by an ID-GC/MS reference method approved by the international Joint Committee on Traceability in Laboratory Medicine (JCTLM) (Department of Analytical Chemistry of Prof. Dr. Thienpont at the University of Ghent, Belgium) [ 13, 14].
"But how does she safely live in a dorm or apartment at 19 or 20?" Buckingham anticipates that getting the method approved by the FDA will take a bit of time – he estimates two years at a minimum.
(4) Any other method approved by the Administrator.
For egg-producing chickens, the majority of which are housed in cages, euthanasia by carbon-dioxide gas is the only method approved by the USDA.
CellSearch System, the current gold standard of CTC detection, is the only detective method approved by the US Food and Drug Administration FDAA) [18, 25, 26].
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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