When it comes to organizing information, arranging it logically is essential to ensure clarity and understanding. There are several synonyms that can be used instead of "arrange logically" to help convey this idea, such as "order systematically," "structure coherently," or "sort in a coherent fashion." Another phrase that can be used is "present cohesively," which implies that the information is not just ordered, but also flows seamlessly. "Categorize logically" is also a useful synonym when sorting or grouping items or ideas in a logical manner. Ultimately, choosing the right synonym depends on the context in which it is used and the specific nuances of the intended meaning.