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From Middle English pleit, plit, plite (“a fold, pleat, wrinkle; braid, strand in a braided cord, ply”), from Anglo-Norman pli, plei, pleit, and Middle French pli, ploy, ply (“a fold, pleat; joint in armour; situation, state”) (modern French pli (“a fold, pleat”)), from plier, ployer (“to bend, fold”), from Latin plicāre (“to bend, fold, roll up”), from Proto-Indo-European *pleḱ- (“to fold, plait, weave”).

From Middle English plīen, pli, plie (“to bend, fold, mould, shape; to be flexible; to be submissive, humble oneself; to compel someone to submit”), from Anglo-Norman plier, plaier, pleier, ploier, and Middle French plier, ployer (“to bend, fold; to be submissive; to compel someone to submit”) (modern French plier, ployer), from Old French ploiier, pleier (“to fold”), from Latin plicāre (“to fold”); see further at etymology 1. The word is cognate with Catalan plegar (“to bend, fold”), Italian piegare (“to bend, fold, fold up”), Old Occitan plegar, plejar, pleyar (“to fold”) (modern Occitan plegar), Spanish plegar (“to fold”).

From apply; compare Middle English plīen, pli, plie, pleie (“to place (something) around, on, or over, to cover; to apply, use; to strive”), short for aplīen, applīen (“to combine, join; to attach; to assemble; to use, be of use; to allot; to apply; to inflict; to go; to ply, steer; to comply, submit”), from Old French applier, aplier, aploier (“to bend; to apply”), from Latin applicāre, present active infinitive of applicō (“to apply; to attach, join; to add”), from ad- (“to, towards”) + plicō (“to bend, fold, roll up”); see further at etymology 1.