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to pierce; to penetrate; to soak in; to permeate
to sting (wound or sensitive area, etc.); to smart; to twinge
to be infected (with vice); to be steeped (with prejudice); to be influenced
to feel keenly; to make a deep impression
冬の夜に飲む温かい味噌汁が疲れた体にしみるようだ。
Warm miso soup on a winter night seems to seep into one's tired body.
傷口に消毒液をつけたら激しく沁みて思わず声が出た。
When I applied disinfectant to the wound, it stung so much I couldn't help but cry out.
友人がかけてくれた温かい言葉が心に深く沁みた。
The warm words my friend offered me sank deeply into my heart.