Who could've thought that injecting SF6 into blood vessels is actually safe enough to be FDA-approved... interesting.
When used as a contrast agent for ultrasound, it "has been used to examine the vascularity of tumours" -- which would be similar to its use in the OP. Then "[i]t remains visible in the blood for 3 to 8 minutes, and is exhaled by the lungs."
So -- not collected and excreted by the liver, as I at first thought.