"engages the question" is a grammatically correct phrase and can be used in written English.
It means to actively involve or address the question at hand. Example: The politician's speech engages the question of immigration, discussing both the benefits and challenges of open borders.
The Book Traces Project engages the question of the future of the print record in the wake of wide-scale digitization.
Picinali (2013) sees fact-finding as a theoretical exercise that engages the question of what to believe about the disputed facts.
In Traumatic Realism Michael Rothberg engages the question "how to comprehend the Holocaust and its relationship to contemporary culture" by reevaluating the function of realism in representing the Holocaust (1)—an event generally assumed to pose unique challenges to realism and to representation.
"Once this bill engages, the question of rape or incest has long since been dealt with in almost every case".
In engaging the question "What should I do?" we are also engaging the question "Who should I be?"–and there is no final answer to that question.
Judge Rakoff has not even engaged the question whether execution is "cruel and unusual" as banned by the Eighth Amendment.
This lecture will engage the question — What do we need to know to understand the experience of another?
"I want to engage the question - in a non-arrogant, open-hearted manner - how can we make 'Strictly Ballroom' soar to new heights?" Mr. Luhrmann said.
Moreover, it is because our fundamental commitments are mutable and may fall apart that we can even engage the question of what to do with our lives.
Other justices engaged the question, considering whether such a lawsuit would be subject to sanctions on the grounds that it was frivolous and whether the company's president would have to submit to questioning under oath at a deposition.
