Don't be afraid to pressure his doctor for relatively frequent liver panel blood tests, to see how he's doing. Once every 3 months isn't a problem. Better than waiting for a full year to see if you're making any progress.
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Fortunately your husband is not in serious danger, the enzyme level isn't considered high. And it take many years for a chronic condition like fatty liver disease (NAFLD) to become a serious end-stage liver disease.
As you already suspect, NAFLD is a condition that can be corrected and reversed in a relatively short amount of time, with discipline. In fact, his liver will be as good as new because the liver has amazing recuperative abilities.
A proper diet combined with exercise is the key. Obviously eliminating sugar based drinks and alcohol is a major step in the right direction. Cooking with coconut oil and using lean meats helps as well. Lots of fresh fruits and vegetables will make the difference too. There are a number of different recipes and ideas on several sites that you can google about.
But by adhering to the diet and exercise, he can reverse his condition as little as 6 months to a year. Take care and hope things get healthy soon.