Encourage

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Middle English (formerly also as incourage ): from French encourager, from en- ‘in’ + corage ‘courage’.

wiktionary

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From Middle English encouragen, encoragen, from Anglo-Norman encoragier, from Old French encoragier. Displaced native Middle English belden, bielden(“to encourage”) (from Old English bieldan(“to encourage”)), Middle English bealden, balden(“to encourage”) (from Old English bealdian(“to encourage, make bold”)), Middle English herten(“to encourage, enhearten”) (from Old English hiertan, hyrtan(“to enhearten”)), Old English elnian(“to encourage, strengthen”).

etymonline

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encourage (v.)

early 15c., from Old French encoragier "make strong, hearten," from en- "make, put in" (see en- (1)) + corage "courage, heart" (see courage). Related: Encouraged; encouraging; encouragingly.