An electric motor can run for 24 hours a day 7 days per week as long as it's a continuous duty electric motor.
If it's not a continuous duty electric motor then it may only run for 10 hours or 24 hours before it gets too hot and needs to shut down.
An electric motor can work for 24 hours if the electric motor is a continuous duty electric motor.
If the electric motor gets too hot then it will shut off before it actually overheats due to a thermally protected motor switch.
So the electric motor can stay on for as long as it stays cool enough before it shuts off.
Some electric motors are rated to run continuous and can run 24/7 without shutting off for a very long time.
And then some motors may need to shut off after a 10 to 14 hours to cool down.
For DC motors they will usually overheat if left running longer than 15 hours or so and the brushes will wear out for a brush type DC motor.
But as for an AC electric motor that is brushless it will run and run until it either gets too hot or until the bearings wear out.
The bearings in an AC electric motor will most often wear out eventually after several months or years of continuous running.
But the motor itself is basically just a magnet that uses the electricity to turn the rotor and as long as power is supplied the motor can run and run and run.