A Study to Test Whether Survodutide Helps People Living With Obesity or Overweight and With a Confirmed or Presumed Liver Disease Called Non-alcoholic Steatohepatitis (NASH) to Reduce Liver Fat and to Lose Weight

Key inclusion criteria: * Age ≥18 years at the time of signing informed consent, and at least the legal age of consent in countries where it is \>18 years * BMI ≥30 kg/m², OR BMI ≥27 kg/m² and at least one of the following weight-related comorbidities at screening: * Hypertension (defined as repeated, i.e. at least 3 measurements in resting condition, Systolic Blood Pressure (SBP) values of ≥140 mmHg and/or Diastolic Blood Pressure (DBP) values of ≥90 mmHg in the absence of anti-hypertensive treatment, or intake of at least 1 antihypertensive drug to maintain a normotensive blood pressure) * Dyslipidaemia (defined as at least 1 lipid-lowering treatment required to maintain normal blood lipid levels, or lowdensity lipoprotein (LDL) cholesterol ≥160 mg/dL (≥4.1 mmol/L) or triglycerides ≥150 mg/dL (≥1.7 mmol/L), or high-density lipoprotein (HDL) cholesterol \<40 mg/dL (\<1.0 mmol/L) for men or HDL cholesterol \<50 mg/dL (\<1.3 mmol/L) for women * Obstructive sleep apnoea * Cardiovascular disease (e.g. heart failure with New York Heart Association (NYHA) functional class II-III, history of ischaemic or haemorrhagic stroke or cerebrovascular revascularisation procedure \[e.g. carotid endarterectomy and/or stent\], MI, coronary artery disease, or peripheral vascular disease) * Type 2 diabetes mellitus (T2DM) (diagnosed at least 180 days prior to screening, with glycated haemoglobin \[HbA1c\] ≥6.5% (48 mmol/mol) and \<10% (86 mmol/mol) as measured by the central laboratory at screening) * History of at least one self-reported unsuccessful dietary effort to lose body weight Further inclusion criteria apply. Key exclusion criteria: * Current or history of significant alcohol consumption (defined as intake of \>210 g/week in men and \>140 g/week in women on average over a consecutive period of more than 3 months) or inability to reliably quantify alcohol consumption based on the investigator's judgement within the last 5 years. * Intake of medications associated with liver injury, hepatic steatosis or steatohepatitis. * History of other chronic liver diseases (e.g. viral hepatitis, autoimmune liver disease, primary biliary cholangitis , primary sclerosing cholangitis, Wilson's disease, hemochromatosis, Alpha-1 Antitrypsin (A1At) deficiency, history of liver transplantation). Hepatitis B and C testing will be done at Visit 1. Participants with positive hepatitis B surface antigen (HBsAg) should be excluded. Participants treated for hepatitis C must have a negative ribonucleic acid (RNA) test at screening and also be Hepatitis C virus (HCV) RNA negative for at least 3 years prior to screening in order to be eligible for the trial. Trial participants with positive HCV antibody and no history of HCV treatment require a negative HCV RNA test at screening to be eligible for the trial. * Cirrhosis based on clinical assessment, abdominal imaging, liver histology or non-invasive tests assessed at screening (enhanced liver fibrosis (ELF) ≥11.3 or Fibrosis (FIB)-4 ≥3.48 or FibroScan® VCTE™ ≥20 kPa or MRE ≥4.68 kPa) or a history of cirrhosis. * Current decompensated liver disease or previous hepatic decompensation (ascites, spontaneous bacterial peritonitis, portal hypertension bleeding, hepatic encephalopathy, hepatorenal syndrome). * Evidence of portal hypertension (e.g. splenomegaly, oesophageal varices, or other portosystemic collateral pathways). Further exclusion criteria apply.