Intertwine

глагол а) переплетать, сплетать, закручивать б) переплетаться, сплетаться Например: Their lives had intertwined. — Их жизни переплелись.

Большой англо-русский словарь

Intertwine

transitive verb to unite by twining one with another intransitive verb to twine about one another; also to become mutually involved • intertwinement noun

Merriam-Webster's Collegiate Dictionary