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This can be caused by several things. If they have been producing for awhile, they may have just come to the end of their run. It could also be a water issue. How is the drainage? The soil may not be draining well enough, resulting in yellowing. This can also be due to too much water. The addition of organic matter can often improve drainage problems in soil. Too much nitrogen is another possibility.

Excessive moisture is an ideal environment for the development of fungus as well. While fungicides are available, timing of the disease is crucial in order to save the plant. Root rot can cause bean leaves to turn yellow. To check for root rot, carefully pull out one of your bean vines and check the roots. Healthy roots should be white.

It could be that your compost has too much nitrogen. Beans do not need a lot of nitrogen. Too much nitrogen fertilizer or manure will prevent pods from setting and focuses more on producing foliage growth. Heat can also be a factor, making pollination more difficult.

They may need nutrients or they may need even more water. Container plants are very reliant on people for their water. If temps are above 90F, as they are in many parts of the country - you should be watering at least 2X a day, 3 if you can manage it.

This article will have other reasons a plant gets yellow leaves:
https://www.gardeningknowhow.com/plant-problems/environmental/plant-leaves-turn-yellow.htm

Approximately 53 days depending on variety.

I would try giving them some bone meal to give them the phosphorous they need to bloom and fruit.

Well, this is actually news to me. In fact, they make great companions in the garden. I have always planted these two crops together and have never had any issues, and I have been gardening for over 20 years. So, I would have to say this is definitely false.