What is the time limit that a terroristic threat can be set into motion in Georgia?

My ex (who I have a child with but personally have sole custody and no visitation for him) made multiple counts of terroristic threats over the phone-- which I recorded (already reviewed by a lawyer and the police) 2 years ago. The threats have been filed but the cops did not want to pursue a warrant for his arrest yet because he is out of state. The police advised me to hold off until he actually comes here then I he could be picked up. This is scary if you think about it because I found out after I left him that I wasn't the only one who had seen this violent side of him-- he has sexual battery and assault priors. I don't doubt the death threats and my lawyer says that we definitely can get him on the terroristic threats but I am at a loss as to what to do since recently he came to Georgia (despite violating his parole) looking for me, however fled across state lines before being picked up. What should I do?? Also how long will the threats remain valid?