Motorcycles with an engine capacity of up to 125cc are required to have long-range or high beam lights installed. These lights are essential for illuminating a long distance in front of the vehicle, especially on roads outside towns or cities.

- **Long-range lights**: They are mandatory for all motor vehicles, including motorcycles, and optional only for mopeds. These lights are powerful and white in color, and their main function is to provide visibility in low natural light conditions, such as during the night or in poorly lit tunnels.


- Motorcycles must have one or two long-range lights to comply with road safety regulations, ensuring that the driver can see clearly and be seen by other vehicles on the road.

Therefore, the correct answer is that yes, motorcycles up to 125cc are required to have one or two long-range lights installed.