Edit

google

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late 18th century (as a verb): partly a back-formation from editor, reinforced by French éditer ‘to edit’ (from édition ‘edition’).

wiktionary

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Back-formation from  editor, influenced by French éditer(“edit, publish”) and Latin editus. 

etymonline

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edit (v.)

1791, "to publish," perhaps a back-formation from editor, or from French éditer (itself a back-formation from édition) or from Latin editus, past participle of edere "give out, put out, publish" (see edition). Meaning "to supervise for publication" is from 1793. Meaning "make revisions to a manuscript, etc.," is from 1885. Related: Edited; editing. As a noun, by 1960, "an act of editing."