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35 reviewsSeveral correlations among Gamma-Ray Bursts (GRBs) quantities, both in the prompt and afterglow emissions,Gamma-Ray Burstshave been established during the last decades, thus enabling the standardization of GRBs as cosmologicalCosmologyprobes. Since GRBs are observed up to redshift 𝑧 ∼ 9, they represent a valuable tool to fill in the gap ofHigh-redshift probesinformation on the Universe evolution between the farthest type Ia supernovae and the Cosmic MicrowaveCosmographyBackground Radiation and to shed new light on the current challenging cosmological tensions. WithoutObservationsclaiming for completeness, here we describe the state of the art of GRB correlations, their theoreticalinterpretations, and their cosmological applications both as standalone probes and in combination with otherprobes. In this framework, we pinpoint the importance of correcting the correlations for selection biases andredshift evolution to derive intrinsic relations, the assets of combining probes at different scales, and the needfor the employment of the appropriate cosmological likelihood to precisely constrain cosmological parameters.Furthermore, we emphasize the benefits of the cosmographic approach to avoid any cosmological assumptionsand the valuable applications of machine learning techniques to reconstruct GRB light curves and predictunknown GRB redshifts. Finally, we stress the relevance of all these factors, along with future observations,to definitely boost the power of GRBs in cosmology.