When you have to ignore or disbelieve something that someone says, you can use different phrases to express the same idea. Some synonyms for "close your ears to something" include "turn a deaf ear", "block out", "shut off", "tune out", or "disregard". All these expressions communicate the idea of intentionally avoiding or rejecting a piece of information, advice, or opinion that you find unpleasant, unhelpful, or irrelevant. Depending on the context and the level of formality, you can choose the synonym that best fits the situation. For example, "turning a deaf ear" is a more casual and colloquial option, while "disregard" and "ignore" are more straightforward and direct.