If you were running two Honda (or other parallel capable ) generators in parallel and one quit it would depend on what was running. If the load at the time it quit was more than the one generator could handle, the breaker on that running generator would trip and everything would shut off. Things like AC's usually are damaged by operating at low voltages. Unless you had a very long power cord, you would most likely not have a low voltage for any length of time before the breaker tripped.
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