She continued her work.

Literal

She [topic-は] work [object-を] continued.

続ける ('continue, keep doing') is the transitive partner of 続く ('to continue, last') — both highly productive verbs. The pair illustrates Japanese's transitive/intransitive partnerships: 始める/始まる ('start'), 集める/集まる ('gather'), 開ける/開く ('open'), 出す/出る ('put out / come out'). Choosing the right one is essential for natural-sounding sentences; the choice often depends on whether the speaker frames the event as caused by an actor (transitive) or unfolding by itself (intransitive).