Something is wrong in the root system of those pepper plants. It could be that the growing medium is too loose and airy, causing it to dry out quickly. I suggest you move them to a larger container as those plants can quickly fill a container with roots and dry out faster if the container is not large enough to accommodate them. Try locating them in a spot with lots of morning to midday sun but a little late day shade to help reduce the need for watering also. Fertilize weekly with a soluble plant food such as Miracle Grow following the label rates. They should be fine.
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