I am engaged to a swallow.

我和一只燕子订婚了。

youdao

Sorry, I am engaged for the social dance.

抱歉，这支舞我有约在先了。

youdao

Sorry, I am engaged for the social dance.

抱歉，这交际舞我有约在先了。

youdao

I am deeply sorry for my irresponsible and selfish behavior I engaged in."

VOA: standard.2010.02.19

On top of that I am engaged to be married to a wonderful girl who fortunately is accepting of my situation and my daughter, but it's not like I give her much to complain about.

FORBES: Magazine Article

You learn that I am more committed to the truth than to your comfort, and I am more engaged with your impact than your happiness.

FORBES: How to Stop Reacting and Start Leading

Will what I am now engaged in help us to win?

FORBES: How To Quit Multitasking For Good In Five Steps