Answer:
Julia and Jack
Explanation:
The statement says Jack lies as an absolute and when jack speaks he says "if you round up Jane, Joey, and John one is a liar" which implies none of them are liars.
And that gives you the three people who tell the truth and leaves Jack and Julia as the liars.
You can reason it by taking a statement that certainly said one person is lying or telling the truth and you can check to see if it makes sense with the rest assuming they are telling the truth.
We can start with Joey (who said Jack was a liar). That means we know one liar and somebody is telling the truth. Lets look at Jack's statement and can conclude that Jane and John also weren't liars (since that would've made him truthful).
Now I know one liar and 3 that are speaking the truth. That leaves Julia as the second compulsive liar.
Therefore, Jack and Julia are the compulsive liars.