The techniques used/are used by the author in his last book are quite different from those in his previous works
I came across this question in a textbook and I don’t really understand it.I thought that the relative clause was the subject of the sentence and since it’s the subject it can’t be omitted.So the answer should be sth like ”that are used” or “which are used” But they weren’t in the given options.
Let’s assume that the relative clause is the object of the sentence then what makes ”used” the true answer? I get that we omit “that” but why we also omit “are”? I also have a hard time differentiating between subject and object clauses because the rules are a bit different from the ones in my native language.