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The phrase "according to established methodologies" is correct and usable in written English.
You can use it when referencing accepted practices or procedures in a particular field or discipline.
Example: "The results were analyzed according to established methodologies to ensure accuracy and reliability."
Alternatives: "in line with recognized methods" or "following accepted practices".
Exact(1)
Human raw fat tissue obtained from the patient abdomen (as following patient's approval document) was processed according to established methodologies to determine stem cell vascular function.
Similar(59)
This group formulated recommendations, which were graded by all participants according to established methodology.
Chromatophores were prepared according to established methods.
Linkages are reported according to established guidelines.
The 23 HCQIs of interest were determined according to previously established methodology, including risk adjustment.
We specifically compared blood-feeding capacity between gene silenced and control group mosquitoes that had been injected with GFP dsRNA according to previously established methodology [ 30].
The figures were enlarged by 50%, and an individual linear array was used to measure the axonal diameter (cross-sectional area) and the number of unmyelinated axons per Remak Schwann cell was enumerated according to the established methodology.
In a second set of assays we determined the effect of salivary gland transcript depletion on the mosquitoes probing time, as a measure of time, or interval, between the insertion of mouthparts into the host skin and the initiation of blood ingestion, according to methodology established in previous studies [ 9, 11].
Future investigation is necessary to establish methodology for use of the current technique in diagnostic medicine.
After that, the implementation begins according to the methodologies established by the organization.
The thermal conductivity was determined according to the methodology established by ASTM-E1530: 2011.
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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