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The X-ray absorption spectroscopy technique has been discussed for resolving the low-intensity peaks obscured in the neighborhood of the closely spaced peaks and eliminating the pile-up effect, simultaneously. A theoretical comparison of the absorption technique with the available pile-up rejecters reveals better efficiency for the detection of the higher energy X-ray lines. The technique does not change the fundamental characteristics of the peaks and therefore can be employed to measure the lifetimes of the corresponding states and absolute cross sections. The lifetime of a state calculated with this technique is found to be the same as that without attenuating the intensity using any absorber.