〜たところで
JLPT N3 Contrast and concessionno matter how much; even if (it won't help)
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Verb past + ところで says that even doing something fully will not change a negative outcome. It usually pairs with a negative or futile result. Use it to express that an effort would be pointless.
Examples
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Ima kara isoida tokoro de, maniawanai.
Even if we hurry now, we won't make it.
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Ayamatta tokoro de, yurushite kurenai darou.
Even if I apologize, they probably won't forgive me.