"crucially involves" is correct and usable in written English.
You can use it to emphasize the importance of an action or process. For example, "Making sure the recipe is followed correctly crucially involves measuring out the exact amounts of each ingredient."
This response crucially involves understanding, and no theory of expression that is not also a theory of how expression is understood can be persuasive.
Understanding is for Hobbes the work of the faculty of imagining, and crucially involves language.
Thus, it is difficult to see how our practice could instantiate a convention that crucially involves those intentions and expectations.
It also crucially involves knowledge of how to put words together, for it's typically sentences that we use to express our thoughts, not words in isolation.
First and foremost, the philosophy of digital art is the study of the nature and appreciative grounds of all those kinds of art whose production and presentation crucially involves computer processing.
In the early 20th century, the view that discovery is or at least crucially involves a non-analyzable creative act of a gifted genius was widespread but not unanimously accepted.
Hamilton was crucially involved in the Independent Group's collaborative exhibition This Is Tomorrow held at the Whitechapel Art Gallery, in London, in August 1956.
Also, in 1963, he emphasized that the "new things coming to cinema" crucially involved the rise of a new generation of women filmmakers.
And both have been crucially involved in bossa nova, working closely and consequentially in the 1970s with the legendary singer Elis Regina.
"There's never been" a foreigner "so crucially involved in a decision by the United States to go to war," our reviewer, Leslie Gelb, said about Ahmad Chalabi.
We hypothesized that M2 macrophages are crucially involved in WIHN.
