The phrase "his engaged" is not correct in written English.
It seems to be an incomplete expression and lacks clarity without additional context.
Example: "He is engaged to be married, and his engaged partner is very supportive."
Alternatives: "his fiancée" or "his betrothed."
Murphy said his engaged teammates should consider themselves lucky.
Nor does he: his engaged, engaging torrent of talk is as beguiling as his writing.
The previous day, Team Auto had met with the Chrysler C.E.O., Robert Nardelli, and his engaged and direct manner had impressed Rattner.
Such anxieties are difficult to separate from Mr. Hayes's appeal to the left-leaning audience of MSNBC, his engaged Twitter followers and his growing bookstore crowd.
The writer's brother, and a friend of his, engaged Red's plane for a special flight & asked that the writer be taken along for the same price.
Though initially opaque about his motives, he later explained he was tired of the spam and so was taking his engaged fans elsewhere to chat about his videos.
(Anthony Tommasini) ★ Gil Morgenstern (Wednesday and Thursday) This violinist continues his engaging Reflections Series, which explores varied repertory in artistic, historic and social contexts.
Skinner's serious research on the poet's experiences and thoughts underpins his engaging introduction, informative glossary, and detailed notes.
Another interpretative possibility is that Candide cultivating "his garden" suggests his engaging in only necessary occupations, such as feeding oneself and fighting boredom.
To help turn Segelman's cache into cash, his estate engaged his preferred dealer, Peter Biddulph.
Working at a crisp pace, Burnett kept his defense engaged, and his infield responded.
