multi selection – should dual list orientation follow the language direction?

I got this question while working on a “Persian” app. As you may know, dual lists are consisted of 2 lists, where normally in a LTR language, the list on the left includes all the available options and the one on the right includes the ones that the user has selected from the left one. Now here’s my question: If the app’s language is a RTL one, should the order of the lists be reversed, meaning that the list with the available options be placed on the right, and the one with user’s selection on the left?