The phrase "engage himself in" is grammatically correct and can be used in written English.
It means to involve oneself in or commit to a particular activity or task. Example: John decided to engage himself in a volunteer project at the local animal shelter.
One boy leaned forward into the circle, trying to engage himself in the lesson, in the way that little children do.
But if he wants to do more than cast blame, and if trade is as high a priority as he asserts, he needs to engage himself in the struggle for an acceptable compromise.
In case of a negative response, the search session is concluded and the participant can either return to the service to engage himself in another session, or abandon the service.
DC: It would, but what better task for the President of the United States to engage himself in?
Last loves talking about music and how he seeks inspiration in it, and proclaims that if he were to ever move away from fashion he would turn to his fine art roots and engage himself in video art.
It was the man who chose to engage himself in the needs of others, to reject the concern for ritual purity and the false neutrality of not getting involved.
Mr. da Silva "totally engaged himself in Dilma's campaign and was able to transfer his approval rating, votes and charisma".
Sam was a quiet scholar all his life engaging himself in biomedical research and developments in medical technology.
In 1677 he opened a small study hall called the Nanshufang in the Forbidden City, where he engaged himself in lively discussions on philosophical and historical topics with the leading scholars of his time.
He particularly engaged himself in offering questions and advice to Jonathan Miller, the newly named chairman of the AOL division, charged with building a new strategy for the online service.
Jobless, he engaged himself in community work in his church, Covenant Community Methodist Church, and often visited a pub in Boat Quay of which his wife was a partner.
