〜にもかかわらず means "despite" or "in spite of" — the result is contrary to expectation given X.
Contrary result - Despite X, Y happened
Unexpected outcome - In spite of X
Despite the rain, many people came.
More formal than のに. Used in written language.
Noun + にもかかわらず
Plain form + にもかかわらず
Formal/written style. Casual: のに
Despite my efforts, I failed.
Despite being busy, they helped me.
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