The phrase "looked for" can be replaced with multiple synonyms to add variety to your writing. Some of the synonyms include searched for, sought after, hunted for, scoured for, probed for, explored for, rummaged for, hunted down, tracked down, pursued, investigated, examined, inspected, scrutinized, surveyed, combed, and rummaged. Each synonym has its unique connotation and usage-dependent on the context. For instance, searched for is useful when trying to find something specific while hunted down is suitable when referring to a targeted search. Synonyms allow you to add depth and precision to your writing, making your work more varied and interesting.