When you call a method that does not exist on an object, Ruby tries to find it but fails. Then Ruby calls the method_missing method on that object. This method receives the name of the missing method and any arguments passed. You can write code inside method_missing to handle these calls, like returning a message or performing some action. If method_missing does not handle the call, Ruby raises a NoMethodError. In the example, calling any_method with arguments 1 and 2 triggers method_missing, which returns a string describing the call. This way, method_missing acts as a catch-all for undefined methods.