The phrase "and even engage" is correct and usable in written English.
It can be used to indicate that someone is not only participating but also actively involved in a discussion or activity.
Example: "The workshop was designed to encourage participants to share their ideas and even engage in meaningful conversations."
Alternatives: "and actively participate" or "and take part".
Thus undistracted, I am able to study my fellow human beings and even engage them in conversation in train carriages.
This enables them to witness and even engage in criminal activity without fear of disciplinary action or compromising a subsequent court case.
Referring to Ms. Sanchez's current photography show, which he hopes will expose people to the Everglades and inspire them to go there and even engage with the effort to restore them, Mr. Boynton said, "there's no better location in Miami than the airport".
(Ages 8 to 12) In his popular novel "A Rat's Tale," Tor Seidler made one of the most reviled animals lovable, even human, creating a bustling rodent society where rats make money, fall in love and even engage in witty repartee.
Isolation and shame persist among gay teenagers, of course, but now, along with the inhospitable families and towns in which many find themselves marooned, there exists a parallel online community -- real people like them in cyberspace with whom they can chat, exchange messages and even engage in (online) sex.
The initiative, on the other hand, goes into detail, specifying the kinds of plants, for example, that can be used to cleanse a disturbed wetland; how trees can be used to shade a building, protect it from wind, prevent erosion and clean the air; and what kind of plantings enhance mental health, draw people outside the building and even engage them in tending the landscape.
All of which seemed unexceptionable and even engaging until the concluding Pastorale, typically a model of melting, lullabylike repose.
But today they quarreled bitterly among themselves and even engaged in a dangerous round of saber-rattling.
The only thing more tedious than reporting that the Barmy Army mocked him would be to add that Johnson did not seem overly affected, and even engaged in "banter".
Mr Obama has also been engaged in a blue-collar charm offensive, swapping his grand speeches for cosy town-hall meetings and even engaging in the quintessential white-guy sport of bowling.
He was a second father to her, gave her extra money to buy shoes and tights which she couldn't afford, and even engaged a governess to travel with her.
