Note that you are OK to run even a general-purpose motor in a Class I Div 2 location continuously, provided that there are no contacts, brushes, switches, overloads, etc., in the motor. The motor itself is generally not a problem, it's those other associated sparking types of devices that can cause an explosive atmosphere to ignite. See NEC 501.8(B) for exact requirements and additional details. Be particularly careful of the overload devices often embedded in small GP motors -- those would need to be removed from the motor to comply with this requirement (and replaced with remote OL devices located remotely, at the motor controller or elsewhere).
So, focus more on things like switches and brushes. Those are the things that need to be XP rated, or kept entirely out of the hazardous area.
In general, no, there's nothing to prohibit you from running the motor when an explosive gas is present in a ClI D2 area.