"Show outmessages" can be replaced with a variety of synonyms, depending on the context. For instance, if you're referring to displaying or revealing communication, alternatives could include "exhibit messages," "present exchanges," or "unveil correspondence." If you want to emphasize the act of conveying something to another person, "transmit directives," "relay missives," or "deliver information" could be appropriate. Synonyms such as "manifest notices," "disclose communiques," or "betray correspondence" might be useful when you're referring to revealing confidential or sensitive information. Ultimately, the choice of synonym will depend on the intended meaning of the phrase and the context in which it's being used.