If you look at the database page for the Durham/Fayetteville system
(here). Then click the link to the Fayetteville site
(here). Then click on the FCC callsign for the license associated with that site
(here).
Note that there is only a single location associated with that license. That would indicate to me that the Fayetteville site is NOT simulcast. If you presume that the callsign associated with the site is correct, and the FCC license for the site is accurate (it's possible that this is not the case).
Note that the Durham site
(callsign link here) has multiple locations associated with it. This site likely IS simulcast.
Ensure that you are listening to the Fayetteville site only. Based on the note at the top of the system database page, it sounds like these sites are pretty separated administratively, meaning you're probably only going to hear Fayetteville agencies on the Fayetteville site, and you'll likely only hear Durham agencies on the Durham site. If the broken/garbled transmissions are ones associated with Durham agencies, then simulcast is probably the issue.