The phrase "does likewise" can easily be swapped with several other synonyms to vary up your vocabulary. A few examples include "follows suit", "emulates", "mimics", and "imitates". These words all carry a similar meaning to "does likewise" in that they convey the idea of someone or something copying or repeating an action or behavior of another person or thing. Depending on the context, you could also use alternatives like "matches", "mirrors", "reproduces", "echoes", or "parallels". By utilizing these synonyms, you can add some variety to your writing and make your language more engaging for your readers.