The word "logicalized" is not very commonly used, and as such, it is difficult to come up with perfect synonyms for it. However, some possible alternatives include "rationalized," "justified," "reasoned," "intellectualized," "systematized," "organized," "coherentized," "structured," and "convoluted." Each of these words has a slightly different connotation, but they all describe the act of applying logic to something. Depending on the context, one of these synonyms may be a better fit than "logicalized." Ultimately, the choice of words will depend on the author's intent and the tone of their writing.