For example, the half-life of inorganic mercury in the brain is something like 20 years. I bet you'll want to speed that up : ) However, I doubt that what you are currently doing will greatly increase the rate that it will get across the blood brain barrier and out of the brain.
Cutler's heavy metal detox protocol was designed to get inorganic Hg out of the brain.
Hopefully that is not your issue and you can focus on improving liver function, etc.
There are a number of liver pathways, glutathione conjugation is only one. Sulfation is another that some people like to support.