句中的分号为笔误，应该是冒号。其后的stuff后接二个并列的定语从句，为名词词组，作images,derams and emotions的同位语。一个名词被二个定语从句修饰，称为双重定语从句。此时第一个定语从句的关系词可以省略，但第二个则通常不能省略。

Advertising has everything to do with images, dreams and emotions： stuff we are programmed to engage with but which is, almost without ecxcepion in the ad biz, fake.