I believe in general HDL is increased most by exercise. But I also believe that it can be improved by increasing intake of Omega-3 fatty acids. I take flax seed oil pills everyday to get more omega-3. Certain oily fish are also high in omega-3.
I can't answer your question on the liver test. I'd only suggest you search the internet or try webmd for info.
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Why isn't 11 pronounced onety one?