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The phrase "at which the" is correct and usable in written English.
It is typically used to refer to a specific point in time or place in relation to an event or situation.
Example: "The conference will be held at the venue at which the annual awards ceremony took place last year."
Alternatives: "where the" or "in which the".
Exact(60)
At which the mind boggles a bit.
This is the point at which the world will end.
Selkoe attended the conference at which the data were presented.
At which the House dissolved into laughter, ending the brawl.
Is it the temperature at which the meat is cooked?
Magnus's coronation was the first at which the archbishop presided.
There are points at which the two diagnoses coincide.
He organized the event at which the shooting occurred.
In the second example, the rate at which the pure condensed (liquid or solid) material vaporizes is precisely that at which the vapour condenses.
At which the geekosphere erupted.
Point at which the fat oxidation ends.
More suggestions(25)
at which the completion
at which the dense
at which the tensile
at which the transformation
at which the prospective
at which the enhancement
at which the beacon
at which the breakdown
at which the playback
at which the realm
at which the contours
amount at which the asset
at which the assignment
at which the scheme
at which the invitation
education at which the
for the efficacy at which the
find the k at which the
gravity at which the
during which the
concerning this the
was therefore
is thus a
resulting in the
involving the the
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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