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to find out; to discover; to notice; to detect
to select; to pick out
to look out (from the inside)
to be wide-eyed (in surprise, anger, etc.)
困難の中に新しい可能性を見出だした。
I discovered new possibilities in the midst of difficulty.
彼女の作品に才能を見出だす人が現れた。
Someone appeared who discovered talent in her work.
研究チームは新たな治療法を見出だしている。
The research team is discovering new treatment methods.