Start with your load (200W). Watts is basically volts time amps (close enough) so that is about 2A @ 120VAC. Assume about a 20% loss in the inverter (yes, that number is high) so multiply by 1.2 (2.4A). 120VAC is ten times 12VDC so if we have 1 tenth the volts we need ten times the amps (24A).
Most batteries will have a "reserve capacity" rating which is the number of minutes you can draw 25A and not drop below 10.5VDC (your inverter will probably shut off before then).
A Group 29 has about 200 minutes of reserve capacity. You have 2 batteries so IN THEORY you should get about 400 minutes.
These are very rough numbers but they should bet you "in the neighborhood"