While only Runway Lights (RL) will be sufficient at night for the aircraft to take off, both RL and Runway Centre Line Markings (RCLM) are required to take off during the day. Isn't it illogical? The image is taken from the low visibility take-off section of the 10-9 page Jeppesen chart of Tekirdağ Çorlu Airport (LTBU).
To me it makes perfect sense if you consider that at night there is high contrast between darkness and the lights. It is easy to make out the runway edge lights through the fog under darkness, so the lateral position of the aircraft on the runway and its alignment with the runway can be estimated from lights only.
Under daylight conditions the fog itself is scattering the sunlight. The contrast between the runway lights and the scatter is much lower, preventing the pilots seeing lights further down the runway. Therefore during daylight, the runway's center line markers are required so that pilots can see the lateral position and alignment with the runway.
These images show how much more pronounced the edge lights are at night compared to during daytime.