There are several synonyms for the phrase "puts one's two cents in". One similar phrase is "gives one's opinion", as both phrases refer to offering thoughts or ideas on a subject. Another equivalent phrase is "chimes in", which also implies contributing to a conversation or discussion. Additionally, one can use "adds one's perspective" as a synonym, which suggests a more specific and personal point of view. Lastly, "puts in one's thoughts" or "shares one's viewpoint" can also be used as alternatives to "puts one's two cents in", emphasizing the act of verbalizing one's thoughts on a particular matter.