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Ancient red-giant stars in the Galactic thick disc are proving to be most troublesome in this regard. They are older than 5 Gyr, a lifetime corresponding to an initial stellar mass of about $1.2{\\mathrm{M}_{\\odot}}$. So why do the masses of a sizeable fraction of thick-disc stars exceed $1.3{\\mathrm{M}_{\\odot}}$, with some as massive as $2.3{\\mathrm{M}_{\\odot}}$ ? 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