I rarely run into situations where I need to fiddle with both to unblock a script or embedded video, but for the most part the combination is pretty reliable.
I also like seeing the long lists of adware Ghostery is blocking as the page is loading. You'd never know some pages have 50-60 scripts getting loaded to track what you do. It was an eye opener the first month I was using it.
Why do you use both, though? Aren't they pretty much perfectly overlapping?
Plus with Privacy Badger, it gets better the longer you use it:
The salient difference between Privacy Badger and the other extensions is that Privacy Badger’s blacklist is generated through heuristic blocking, which means it gets better the longer it is used. Out of the box, Privacy Badger won’t block nearly as many third-party requests as the commercial options, but as you use it more, it will learn more and more hosts to block
https://gigaom.com/2014/05/11/not-all-ad-blockers-are-the-sa...