There are several synonyms for the phrase "not show." One such synonym is "conceal," which means to hide or keep something secret. "Omit" is another synonym that means to leave something out or fail to mention it. "Neglect" is a synonym that means to disregard or not pay attention to something. "Suppress" is another synonym that means to restrain or prevent something from being expressed or shown. "Eclipse" is a synonym that means to overshadow or obscure something. All of these synonyms can be used to convey the idea of something not being shown or displayed.