I forgot to mention that there's also high CPU usage. Your suggestion helped reduce its size, though the log file continues to grow (at a slow pace now) while eating CPU usage. I have BTS installed on two other locations (basically as pull instances, only pulling in changed data from the main server, which is the one having log file and CPU issues), and those two always use 0% usage.
Here are the latest repeat lines in the new log file:
Sync is paused, and only unpaused when new files / changes need to be pushed out to the other two instances. The CPU usage now is relatively minor, but it's still a slight annoyance considering the other two instances use zero.