The liver requires large amounts of glutathione to process alcohol and its byproducts, so drinking will quickly deplete the antioxidant stores you just replenished
10.1182/blood-2013-03-493163 107 Vousden K
J Alzheimers Dis 75:2228 Delalande O, Desvaux H, Godat E, Valleix A, Junot C, Labarre J, Boulard Y (2010) Cadmium-glutathione solution structures provide new insights into heavy metal detoxification
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Food supplement: Do not exceed the recommended daily intake stated
Furthermore, reduction in the levels of intracellular GSH increases oxidative stress, mitochondrial dysfunction, and apoptosis in SOD1 G93A mice models (Chi et al., 2007)