There are two cutoffs. A 48V ebike controller has one, set at 40-42 volts. The battery BMS has one too, usually lower, triggering when the overall voltage is around 37-39 volts.
There is a third minimum, which is at the individual cell level, and this is the minimum voltage at which the battery cell will not be damaged, and also the number used by the cell manufacturer to rate the life/capacity. For the above battery, this number would be around 35 volts.
For a maker like Lectric, which uses a decent battery, I think you will get their advertised battery life if you run it til the bike shuts off. You're still way above the minimum operating conditions for the battery. Still, follow pokerdogg's advice, if you want to max out battery life.