There are many synonyms for the phrase "are allowed to". Some common options include "have permission to", "are authorized to", "may", "are entitled to", and "can". Each of these phrases conveys the idea that someone is permitted to engage in a particular activity. Other synonyms for this phrase may include "are enabled to", "are empowered to", "are sanctioned to", and "are approved to". Depending on the context, certain synonyms may be more appropriate or convey slightly different meanings. Regardless, all of these phrases indicate that there is permission or authorization for someone to take a particular action.