[see also: entail, necessitate, require]
Our proof involves looking at ......
This involves no loss of generality.
The analysis of PDO involves the geometry of $T^*M$.
The terms involving $a\neq 1$ contribute $O(n)$, since ......
Perhaps the most important problem involving $f$-vectors is whether or not John's conditions extend to spheres.
A computational restraint is the algebraic number theory involved in finding these ranks, which will typically be more demanding than in our example of Section 1.
The crucial set-theoretic properties involved are the following. [Note the position of involved; placed before properties, it would mean “complicated”.]
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