Could a planet, tidally locked with the sun, have molten rock on the side that faces the sun?

I am designing a solar system, with the first planet located very close to the parent star. This planet has become tidally locked to the star. Is it possible for to have a molten lava ocean on the side that is facing the sun?

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Could a planet, tidally locked with the sun, have molten rock on the side that faces the sun?

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