persist

continue firmly or obstinately in an opinion or a course of action in spite of difficulty, opposition, or failure.
"the minority of drivers who persist in drinking"
continue to exist; be prolonged.
"if the symptoms persist for more than a few days, contact your doctor"
synonyms: continue, hold, carry on, last, keep on, keep up, remain, linger, stay, endure
"if dry weather persists, water the lawn thoroughly"

"the minority of drivers who persist in drinking"
continue to exist; be prolonged.

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