I2C Bus Buffer and I2C Multiplexer

I guess you didn't know page 60 when you put the signals on that phone cable ?
Look for the bold "page 60" here: https://github.com/Koepel/How-to-use-the-Arduino-Wire-library/wiki/How-to-make-a-reliable-I2C-bus.

3 feet is 91 cm. That four times ? That is still a lot. The I2C bus was not designed to go through a cable. Can you tell more about your project ? Why do you need those lux sensors at that distance ?

@czu001 I still have so little information. I would like to know for example which modules you use. I'm afraid your project is not going well and good advice is hard with so little information.