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Discover LudwigThe phrase "against which" is correct and usable in written English.
You can use it to refer to something that has already been established or mentioned in a sentence and is the object of comparison. For example, "The book explores the themes of freedom and equality, against which the characters of the novel must confront their own conflicts."
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It is the foil against which "undocumented" exists, and the mirror against which "undocumented" sees itself.
Against which team, what year, what competition.
Against which disturbances should the network be made robust?
Satire assumes standards against which professions and practices are judged.
The tendency to overact is one against which she struggles.
He was the rock against which sparks flew.
Cultures also determine the criteria against which CEOs are evaluated.
"In" groups need "out" groups against which to define themselves.
Most designs carry multiple warheads, against which defenses are limited.
Against which of life's odds have they struggled?
The professional criteria against which both are judged remain identical.
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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