学校推出课外活动后，许多家长表示愿意重新参与孩子的教育。

After the school launched extracurricular programs, many parents expressed their willingness for ___re-engagement in their children's education.

公司启动了一项重新联系计划，以赢回重要客户。

The company launched a ___re-engagement program to win back key clients.

公司决定与这位顾问重新签订合同，再合作一年。

The company decided on a ___re-engagement with the consultant for another year.