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The phrase "applied this method" is correct and usable in written English.
You can use it when discussing the implementation of a specific technique or approach in a particular context, such as research or problem-solving.
Example: "In our study, we applied this method to analyze the data more effectively."
Alternatives: "utilized this method" or "employed this method."
Exact(60)
She applied this method, and published the results.
We applied this method to reanalyze the data from NMMAPS.
However, BEST only applied this method to temperatures over land, not oceans.
We applied this method to one week of continuous data during the 2011 Mw9.1 Tohoku-Oki mainshock.
He applied this method to measure the importance of belief shocks in accounting for business cycles.
We applied this method to a case study in, Argentina.
We applied this method to a MEMS stage.
Finally, we finally applied this method to DNA derived from a tumor sample and demonstrated improved mutation detection accuracy.
We then applied this method to four yeast strains that had independently adapted to a fluctuating glucose galactose environment.
Barnes's team applied this method to the genome of influenza A, which is roughly 13,500 RNA letters long and composed of eight segments.
We applied this method to an example.
More suggestions(15)
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applied this love
applied this point
applied this approximation
applied this model
applied this test
applied this definition
applied this analysis
applied this framework
applied this algorithm
applied this law
applied this rule
applied this account
applied this package
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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