The present invention relates to the medical use of specific long-acting glucagon analogues having dual GLP-1/glucagon receptor agonist activity in the prevention and/or treatment of metabolic liver disease, particularly non-alcoholic fatty liver disease (NAFLD), non-alcoholic fatty liver (NAFL), non-alcoholic steatohepatitis (NASH), NAFLD-associated liver fibrosis and/or cirrhosis.
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