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As temperature decreases, luminosity will also decrease

As radius increases (and with it surface area, but radius is a much easier to work with if you're trying to compare stars so we usually say radius) luminosity will also increase.

If both are happening at the same time, it is possible that the luminosity of the star will remain more or less constant. Often one change will dominate the other, such as when a star goes through the red giant phase when the increase in radius has a far greater effect than the drop in temperature, and the star becomes more luminous.

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