The phrase "pound pavement" is a common expression that refers to walking around a particular area or location with a clear purpose or goal in mind. However, there are a variety of other synonyms that can be used to describe this same action. Some of these alternatives include "walk the beat," "step out," "march around," "ramble," "strut," "trawl," "saunter," "trek," and "roam." Each of these expressions has a slightly different connotation and can be used to describe a specific type of walking or exploring. Regardless of which term you choose, each one captures the essence of the action of actively moving through a space with intentional steps.