"Get into the act" is an idiomatic expression that is commonly used to mean to become involved in something actively. When we want to express this idea in different words, we can use several synonyms such as "take part," "engage," "participate," "pitch in," "join in," "contribute," and "play a role." All these phrases convey the same message but in different wordings. They are versatile and can be used interchangeably according to the context and personal preference. So, whether you want to "get involved in," "throw yourself in," "be a part of," or "get in on" the action, there are plenty of different expressions to choose from.