Answer: If these are fibrous rooted begonias or the butterfly type of begonia they could be grown in part sun or all day sun, as long as the soil is evenly moist. However since one is peach I suspect these are tuberous begonias (one common group of these is called the Non-Stop series). These need to be grown in dappled light or gentle early morning sun with mostly shade. So I don't think I would recommend the move. You might check with the retailer where you purchased them and see what kind they are.
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