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"method described elsewhere" is a correct and usable phrase in written English.
It can be used to refer to a previous, detailed discussion of a method. For example, "This paper provides a brief overview of the data analysis technique; a more in-depth description of the method can be found in the study described elsewhere."
Exact(60)
The reproductive performance of adult specimens was evaluated based on a method described elsewhere [20].
The ricinoleic acid was isolated from castor oil using the method described elsewhere [30].
PS nanoparticulate latexes were prepared by radical polymerization of styrene in accord with the method described elsewhere [27].
The CD-impregnated WPU polymer was prepared via an ex situ technique according to a method described elsewhere [31].
Total lipids of yeast strains were extracted using the direct transesterification method described elsewhere (Lepage and Roy 1984).
Binding of 99mTc-cefprozil to S. aureus bacteria was assessed by the method described elsewhere (Welling et al. [2000]).
The CdTe QDs were prepared using the reaction between the Cd2+ and NaHTe solutions following the modified method described elsewhere [12].
CAs were synthesized by the sol gel polymerization of resorcinol (R) and formaldehyde (F) in an aqueous solution according to the method described elsewhere [25].
Activated carbon (AC) was prepared by physical activation using carbon dioxide as an activating agent according to the method described elsewhere [35].
The pH at the point of zero charge (pHPZC) of the adsorbent in aqueous phase was analyzed by titration method described elsewhere.
This demands the fixation of individual cells, a method described elsewhere [29].
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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