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to catch; to stop the blow
to react to; to take (advice, etc.); to accept; to come to grips with
彼の批判を受け止めた。
I took his criticism on board.
批判を前向きに受け止めて改善に努めている。
I take criticism positively and strive to improve.
監督の言葉を真剣に受け止めている。
I am taking the coach's words seriously.