"begun engaging" is a correct and usable phrase in written English.
It is commonly used in formal or academic writing. Example: The company has recently begun engaging in environmentally-friendly practices, such as using renewable energy sources and reducing waste production.
For one thing Jonathan gets actually appealing, once he has begun engaging in breathless chases and donning disguises.
China so far has resisted the harshest measures proposed by the Americans and Europeans, but in recent days has begun engaging in more talks.
And with corporate profits healthy again, the president has begun engaging business leaders more on what it will take for them to start investing again in new plants and equipment and stepping up hiring.
Desperate heroin users in a few African cities have begun engaging in a practice that is so dangerous it is almost unthinkable: they deliberately inject themselves with another addict's blood, researchers say, in an effort to share the high or stave off the pangs of withdrawal.
However, I am optimistic about the future of this relationship and the estate, given that EDF has already begun engaging with residents about the sale and has working knowledge of the land and the relevant conservation designations that apply to this remarkable part of Kent".
So Mr. Biden has begun engaging Mrs. Clinton and Mr. Obama, asking at nearly every stop how they can square their recent votes to stop financing the war in Iraq — Mr. Biden voted to continue the financing — with their recent concessions that they cannot guarantee all the troops will be home by 2013.
Still, they said it was crucial to begin engaging Mr. McCain as soon possible.
Even the world's most prestigious makers — Porsche, Mercedes, Ferrari, Jaguar, Audi and more — began engaging in electric one-upmanship.
Then they set up checkpoints and began engaging in gunfights with Qaeda cells in the Ramadi area.
As potential Republican opponents begin searching for support in early-voting states, the president is not expected to begin engaging in day-to-day campaign activity until late spring or summer.
What direction the race will take as Mr. Patterson and Mr. Staples begin engaging, and as candidates file their initial fund-raising reports, is uncertain.
