The phrase "deep involvement of" is correct and can be used in written English.
It can be used in various contexts to describe a strong and intense level of involvement or engagement in something. Here is an example sentence: The success of our project was due to the deep involvement of all team members, who dedicated countless hours and worked tirelessly to achieve our goal.
The deep involvement of the press is essential.
The paper identified Belarusian oligarchs whose businesses, it said, would be impossible without the "permission and deep involvement" of the regime.
But the deep involvement of Peter Mandelson, the trade commissioner, and his advisers in the talks belies any suggestion that they are about doing Baghdad a favour.
Peter Duignan and L.H. Gann convincingly demonstrate that the deep involvement of the United States was a key factor in this success.
Apart from the determination of the peoples themselves, a key factor in the success was the deep involvement of the United States.
But on Feb. 27, the Reichstag building was burned, with the deep involvement of the Nazis — who then pinned the blame on their main rival, the Communists.
Co-founded in 2011 by the Mexican artist Perla Montelongo and the Spanish artist Ignacio Garciá Gómez del Valle, the school aims to offer "more experimental curating, and a deeper involvement of the audience," Ms. Montelongo said.
We hope that this symposium will not only help to inform and shape a deeper involvement of the Carr Center into the issue of corruption, but will also be the start of an ongoing collaboration between the human rights and anti-corruption communities.
The documents, released as part of a multistate lawsuit against the question's addition, also reveal deeper involvement of senior administration officials in pushing for the question than earlier indicated, and attempts to drum up support from experts in the face of overwhelming criticism from former Census Bureau directors and the bureau's chief statistician.
It also calls for deeper involvement of C-suite executives and board members as messengers of sustainable business priorities.
