The phrase "engage profoundly" is grammatically correct and can be used in written English.
It means to involve or participate in something deeply or intensely. Example: The audience was captivated as the speaker engaged them profoundly with her powerful and thought-provoking words.
"He's a very quietly powerful artist," said Martine d'Anglejan-Chatillon, a partner at Thomas Dane. "He is a very particular kind of individual who has the courage to engage very profoundly with some of the questions he finds around him in Beirut and that region.
Instead, we found that the half-life and topology of interactions that each condensin binding site can engage in profoundly affects chromosome behavior.
Adam — at once ideological and post-ideological, vaguely engaged and profoundly spectatorial, charming and loathsome — is a convincing representative of twenty-first-century American Homo literatus.
In the early nineteenth century, the American surgeon Benjamin Rush wrote about a type of "moral derangement" in which the sufferer was neither delusional nor psychotic but nevertheless engaged in profoundly antisocial behavior, including horrifying acts of violence.
Rather than presenting a simple, sentimental ecological fable, the film is profoundly engaged with complex, irresolvable issues.
In little of it can you sense the force of a first-rate, profoundly engaged, here-for-the-duration artistic sensibility.
To take further liberties, they also echo, abstractly and much enlarged, the painter's eyes, outlining his field of vision and underscoring the act of looking in which we find him so patiently and profoundly engaged.
Although its lines are profoundly engaged with the realities of life on the ground (the flowers, the water, the wind) they are written as if from above - as the first line makes plain.
The Tories' contention that nobody in government is in charge of what is going on in Iraq is gaining traction.That matters, but not nearly so much as the damage done by the revolting images from Abu Ghraib to Mr Blair's claim that for all its faults and problems, the coalition is engaged in a profoundly moral enterprise (see article).
If some things in it seem to have been shown their way -- as the critic Robert Stepto has pointed out -- by Robert Hayden, others, particularly in his earlier books, were profoundly engaged with the poetry of Hart Crane, both in their chastely forceful use of high diction and in their central quest for imaginative identity, as Harold Bloom has long recognized.
