When looking for synonyms for the phrase "are on the track of," some options include "are pursuing," "are following," "are tracing," "are seeking," and "are hunting." Each of these phrases implies a sense of direction and intentionality in the pursuit of something, whether it be an idea, a person, or a goal. Additionally, the choice of phrasing can convey a different tone or level of urgency. "Are pursuing," for example, may suggest a deliberate and methodical approach, while "are hunting" may imply a more aggressive and urgent pursuit. Ultimately, the choice of phrasing can play a crucial role in shaping the overall tone and emphasis of any given statement.