Can a planet orbit two stars, the first sun being like Earth's Sun, the second and larger star only visible from the planet around the horizon?

My planet orbits two suns. The orbit of the first sun is similar to Earths orbit around our sun. The orbit around the second sun however makes it appears only around the horizon. Is this possible?

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Can a planet orbit two stars, the first sun being like Earth's Sun, the second and larger star only visible from the planet around the horizon?

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