Collocations for engagement - noun

previous, prior
Mrs Meyer regrets that she is unable to attend owing to a previous engagement.

important
business, official, public, social
royal
dinner, lunch
speaking

have
keep
It is important that I keep this engagement.

carry out (formal, esp. BrE)
The chairman will carry out no official public engagements during the month of August.

cancel
The president was forced to cancel all public engagements.

engagement with
He had an important engagement with his financial adviser.

long
broken

announce
celebrate
break (esp. AmE), break off, cancel, end

ring
party

engagement to
He announced his engagement to his long-time girlfriend.

constructive, effective
active
intense, passionate, serious
his serious intellectual engagement with this issue

creative, emotional, imaginative, intellectual
civic (AmE), political
Higher education can contribute to civic engagement.
the decline in political engagement

encourage, promote (esp. AmE)
Her church promoted civic engagement. (AmE)

facilitate (esp. AmE)
increase

engagement in
the lack of engagement in politics

engagement with
Feminist criticism is a starting point for a deeper engagement with the text.