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"since by" is a correct and usable part of a sentence in written English.
It can be used to explain an action or situation which began at the point in time indicated by the word "since," continuing up to the point in time indicated by the word "by." For example, "I had completed the assignment since by Friday morning."
Exact(60)
He has had it copied ever since by Cavanagh.
Since, by we get.
Since, by Theorem 2.6,.
Since by (b), then.
Since by, we have.
Since, by Hölder's inequality, (32).
since by Lemma 4.3 iii).
Since by (x), we have.
Since (by hypothesis (III)), hence.
Since by the assumption, therefore,.
Since by hypothesis, one sees that (3.5).
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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