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[en] Several narrow resonance features in the system of two KS mesons were found on the basis of experimental data obtained by using the 6-m spectrometer of the Institute of Theoretical and Experimental Physics (ITEP, Moscow). Three resonances, X(1070), X(1545), and fJ(2220), are considered in the present study. An interference with the background is observed for the X(1545) resonance. It is shown that X(1070) and fJ(2220) resonances are produced under nearly identical kinematical conditions characterized by high transverse momenta and the production of accompanying extra pions.