.I have a pretty good knowledge of anatomy and physiology and I don't know of any reason to think toxins are pulled out through the skin of the mouth. I don't think the salivary or mucus glands pull toxins from the blood etc. I think they just secrete saliva and mucus for digestion and lubrication. I don't think there are any sweat glands in the mouth for removing toxins. There is one way, though, in which toxins do move through and out of the mouth, besides spitting out junk that accidentally enters the mouth. Mucus glands in the air passages, including lungs, secrete mucus that does pick up toxins, but only from the air, probably not from the blood. Cells lining the air passages have cilia, which are like tails, that beat constantly in an outward direction. Like a bucket brigade, they sweep mucus that traps dirt and toxins [foreign matter] out to the nose or mouth where it's expelled as phlegm or snot. Coughing and sneezing also help expel such foreign matter.
.What I think the oil does is kill harmful bacteria and other parasites. I think that, because I had abscessed tooth roots for over ten years, also tender areas on the gums, and they've largely disappeared, judging by the lack of tenderness and healing of blisters on the gums that were draining 2 of the abscessed areas. I began to have very noticeable improvement after only about 4 days of OP. I think the infections are almost completely gone after less than 2 months.
.How the oil [& saliva?] can kill bacteria inside my gums around the tooth roots is a mystery to me. It seems unlikely that the oil can penetrate to reach such internal bacteria infections. It seems the likeliest possibility is that lymph capillaries may somehow absorb oil and direct it to wherever harmful bacteria are congregated. Macrophages and other white blood cells can then clean up the dead bacteria.
.I've always swallowed the oil after rinsing with it for ten minutes or so, because the oil is very nutritious and because the body likes to recycle the digestive enzymes etc in saliva. I doubt if there are any more toxins in the oil than there is from normal eating and drinking. The dead bacteria and parasites aren't a threat, especially if one gets plenty of probiotic, like kefir.
.I started to get edema in my hands, feet and shins a day or two ago, which seems to suggest that some of my tissues are releasing stored toxins faster than my liver and kidneys can handle. I may need to find a way to start doing a lot of sweating to help the process.