definition: to participate; involve oneself.
example: The guests engaged in small talk before dinner.
example: How long have you engaged in this kind of volunteer activity?
example: Many individuals engaged in the effort to help the victims of the hurricane.
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Collocations: Words often used in combination with the intransitive verb “engage”
engage + PREPOSITION: ~ in (e.g., engage in activities, engage in an argument, engage in a debate, engage in negotiations, engage in a discussion, engage in a battle, engage in a certain type of behavior, engage in sex, engage in a lawsuit, engage in a project, engage in politics)
Note on grammar
The word “engage” has many meanings. For the meaning of “participate” discussed here, the verb “engage” is always followed by the preposition “in.”