"engage in finding" is correct and usable in written English.
You can use it when you want to describe someone's efforts to locate something. For example, "I've been engaging in finding a new job for several months now."
"We do not have preconditions for political discussions because we must engage in finding solutions... to ensure the legitimacy of the process, its fairness and the acceptance of its results".
Further than observing those networks of mobile phone calls, or modeling social behavior, many researchers now engage in finding new ways of using mobile phone data in everyday life.
The comments, for the most part, engage in finding blame for the situation rather than discussing possible solutions.
UK government appears highly supportive and is proactively engaged in finding a long-term solution.
"We are actively engaged in finding solutions to those problems," Mr. Scoppetta said in a statement yesterday.
Against all logic, we are now engaged in finding ways to give tenure to fewer of those who remain.
There is fresh evidence of misconduct, dishonesty and deceit by Yard officers, with some of the detectives engaged in finding the truth accused of crossing the line themselves.
It was heartening to see so many individuals from diverse cultures, regions and economic backgrounds engaged in finding ways to make our nation better for us all.
During the 19th and 20th centuries many leaders of Anglican thought were engaged in finding new avenues of communication with industrial society and with the modern intellectual.
He is called, glibly, a 'moderniser'; but while he is liberal on issues such as gay rights, he is largely engaged in finding clever new ways to defend traditional values.
Yet many portrayed the package as a significant psychological boost for anxious markets around the world, a sign that the Washington overseers of the American economy are seriously engaged in finding a fix.
