"involve comparing" is correct and usable in written English.
You can use it when referring to the comparison of two or more things. For example, "This assignment involves comparing the features of two different products."
All those examples involve comparing different data to find the most likely fit.
As we navigate through the world, we are often faced with decisions that involve comparing vastly different options.
You can implement collision detection in a variety of ways; the simplest might involve comparing bounding volumes of objects to decide if they intersect or not.
The System Usability Scale (SUS) questionnaires are used in a number of usability studies that involve comparing different designs for accomplishing similar tasks.
Software adaptation decisions often involve comparing alternatives on two criteria: (1) how well a system meets users' requirements and (2) the effort required for adapting the system.
Note that the determination of non-dominated alternatives does not involve comparing different criteria, let alone attempting to reduce them to one scale.
Frieser's senior high-honors thesis involves comparing the lives of Division I-A and I-AA athletes.
The method involves comparing new and old maps, plus examination of historical sources.
A better approach to this problem involves comparing the career trajectories of all highly durable starting pitchers.
The viewer does not see the object of their worship, but gets involved comparing the various soles of their shoes.
Instead, the Special Committee moved to a "relative valuation" methodology that involved comparing the values of Southern Peru and Minera.
