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The magnetic properties of diluted mixed-spin-1/2 and spin-1 Ising magnetic systems with crystal-held interactions on a honeycomb lattice (z = 3) are investigated by using the effective-field theory with correlations. The phase diagrams are given for both ferromagnet and ferrimagnet. The influence of crystal-field interaction, D, and the concentrations of magnetic atoms, P-x(alpha = A or B represent the two sublattice), on the properties of such a system is discussed. The results show that the reentrant phenomena and two-compensation point exist, Especially, the independent modulation of P-A and P-B may result in some interesting phenomena, such as three thresholds exist when P-A = 1.0 and seven thresholds exist when P-B = 1.0.

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