im not 100% sure, what i would suggest is making a holding page witht he cj links and a sales page and then linking to the holding/sales page
It is considered Spam by Facebook... they will likely shut you down as it cuts into their revenues. You can try it but it won't last long.
Advertising directly on facebook is against CJ's terms afaik, although having a holding page like JasonB suggested might be ok, you would have to email them and ask