To cut out or clip (e.g., to cut out an article or picture); to extract a part. Also used figuratively to mean getting through a difficult situation.
雑誌の記事を切り抜いてアルバムに貼った。
I clipped an article from a magazine and pasted it into an album.
必要な部分だけを切り抜いて資料にまとめた。
I cut out only the necessary parts and compiled them into the materials.
彼は困難を切り抜いて成功を収めた。
He overcame the difficulties and achieved success.
写真の周りを慎重に切り抜いて額に入れた。
I carefully cut around the photo and framed it.