"Mused on" is a common phrase that refers to pondering, contemplating, or meditating over something. However, there are several other synonyms that can be used in place of "mused on" to indicate thinking deeply or reflecting. Some of these synonyms include ruminate, cogitate, deliberate, reflect, contemplate, brood, muse, and ponder. Each of these terms carries the same meaning as "mused on" and can be used interchangeably depending on the context of the sentence. Whether you are writing a novel or an article, it's essential to have a solid vocabulary so that you can communicate your thoughts and ideas effectively.