QUESTION AND ANSWER
Why did GoToMeeting close and drop my callers at the two hour mark?
At least one attendee (plus the Organizer) must join successfully through the software (Mic and Speakers or Telephone + PIN) for a conference call to extend beyond 120 minutes.
As a workaround, if you are alone you may join from any supported mobile device in order to represent an Attendee in your GoToMeeting session.
GoToMeeting has a built-in security feature for Organizers who forget to hang up their telephone or accidentally leave a meeting running indefinitely which will end the active meeting on the organizer's machine after 2 hours if there is only one person recognized by the Integrated Audio system in attendance.