It is pointed out that one should not expect to find spin doublets in X-ray satellites since the level system of two-hole atoms should consist of singlets and triplets. The energies of the two-hole multiplets L₂M_i and L₃M_i (i=1 to 5) have been calculated for Z=35 to 50 using the Auger electron energy values tabulated recently by Larkins (1977). It is found that whatever may be the spectator vacancy, the satellite pair formed as a result of the transitions L₂M_i, ^rL_j to Y and L₃M_i, ^rL_j to Y where Y is a lower common level, will follow the characteristics of spin doublets in X-ray diagram lines. It is concluded that the occurrence of the so called spin doublets in X-ray satellites is a direct consequence of the fact that the parental one-hole doublet behaviour persists even in atoms which have two holes in their inner shells.