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to bend something (to form something into a curve) [auxiliary haben]
"Diese Stange kann man leicht biegen."
to bend; to be bent (to form oneself or be formed into a curve) [auxiliary haben]
"Die Bäume biegen sich im Wind."
to turn; to round a corner; to drive into a street; always requires some adverbial of location with it; otherwise use abbiegen [auxiliary sein]
"Er ist um die Ecke gebogen."