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The purpose of this paper is to discuss the evolution of modified holographicdark energy with variable $G$ in non-flat Kaluza$-$Klein universe. We considerthe non-interacting and interacting scenarios of the modified holographic darkenergy with dark matter and obtain the equation of state parameter throughlogarithmic approach. It turns out that the universe remains in different darkenergy eras for both cases. Further, we study the validity of the generalizedsecond law of thermodynamics in this scenario. We also justify that thestatefinder parameters satisfy the limit of $\Lambda$CDM model.

Modified Holographic Dark Energy in Non-flat Kaluza-Klein Universe with Varying G