Motion radical on the bottom-left wraps under 罗 - left-side variant of 辵 - marks verbs of going and moving. A patrol 逻 walks routes; logic 逻辑 metaphorically traces a path of reasoning. Same radical drives 进, 退, 道, 边.
罗 supplies the sound directly - luó with no shift - and adds a faint trace of meaning: a patrol net-sweeps through territory, gathering up what it finds. Same 罗 phonetic also drives 萝 (radish/vine) and 锣 (gong).
