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The phrase 'produced by this method' is correct and usable in written English.
You can use it when referring to the result of a particular method or process. For example, "The results of our experiment were produced by this method."
Exact(60)
Today, something less than 5 percent of the world's enriched uranium is produced by this method.
Polycrystalline solids are typically produced by this method unless special techniques are employed.
Material produced by this method is of extremely even gauge and possesses an exceptionally good surface finish.
The linear rate of production is thus almost doubled; Jacquard designs can be produced by this method.
It was soon shown that single-walled nanotubes (SWNTs) could be produced by this method if a cobalt-nickel catalyst was used.
Particles produced by this method were called borohydride-AgNPs.
The pure Ag nanopowder was produced by this method.
The nanoelectrodes produced by this method have a π-conjugated surface.
The yield of the Cu NWs produced by this method was increased outstandingly to 80.2%.
The children who have been produced by this method actually have extra snippets of mitochondrial DNA, or mtDNA, from two mothers – meaning these babies technically have three parents.
RTPSs of human, mouse, and rat have been produced by this method and used for validation.
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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