What you need to remember about burning things is that they *begin* burning at a certain temperature. They can also burn at a higher temperature than that. When they do burn, they release energy which is partly expressed as heat, making the temperature hotter.
The trick at this point is to trap the heat produced by burning by surrounding the flame with an insulator, such as clay or stone, while keeping it fed with oxygen and combustible materials. If you trap enough heat, it will become hot enough to melt your desired material.
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