Chlamydia can definitely be cured, however, and appears to be what often nudges HPV into starting cervical cancer.
Hep C causes liver cancer too
Uh oh...you opened a can of worms! FR antivaxxers may see this...(government mandated HPV vaccine shots for teen/6th grade girls).
https://www.npr.org/2011/09/16/140530716/in-texas-perrys-vaccine-mandate-provoked-anger
https://www.cdc.gov/vaccines/parents/diseases/hpv.html
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4708146/
https://www.thelancet.com/journals/lancet/article/PIIS0140-6736(07)60475-9/fulltext
https://hub.jhu.edu/2018/10/24/why-parents-refuse-hpv-vaccine/
etc., etc.