The phrase "are influenced" is often used to describe how something is impacted or affected by external factors. However, there are countless synonyms that can be used to convey a similar meaning. Some alternatives include "are swayed," "are affected," "are impacted," "are guided," "are shaped," "are molded," "are directed," "are steered," "are persuaded," and "are controlled." Each of these synonyms offers a unique nuance and can be selected based on the specific context and tone of the message being communicated. Overall, having a diverse vocabulary of synonyms can help writers and speakers communicate with clarity and precision.