It doesn't mean two objects are physically merged; they're just very similar. When people say twins are one and the same, they mean in appearance, not that they're literally a single person.
Pro Tip 2/3
Difference Nuance
Use it to emphasize no noticeable differences, even when small ones exist. The two paintings looked one and the same, despite minor variations in color.
Pro Tip 3/3
Identity Mistakes
It's often used when two people or items are wrongly thought to be identical. They may act similarly, but they're not one and the same; each has a unique personality.