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@Public-Choice
Regarding if transitioning improves mental health outcomes and if conversion therapy doesn't work, the debate is effectively a truism. There is no way to argue against it without disagreeing with science.
1. "Patients Report High Satisfaction with Sex-Reassignment Surgery" https://www.issm.info/news/sex-health-headlines/patients-report-high-satisfaction-with-sex-reassignment-surgery/
2. "Trends in suicide death risk in transgender people: results from the Amsterdam Cohort of Gender Dysphoria study (1972–2017)" https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7317390/
3. "Psychosocial Adjustment to Sex Reassignment Surgery: A Qualitative Examination and Personal Experiences of Six Transsexual Persons in Croatia" https://www.hindawi.com/journals/tswj/2014/960745/
4. "Long-Term Follow-Up of Adults with Gender Identity Disorder" https://link.springer.com/article/10.1007/s10508-014-0453-5
5. "Long-term Assessment of the Physical, Mental, and Sexual Health among Transsexual Women" https://www.researchgate.net/publication/23553588_Long-term_Assessment_of_the_Physical_Mental_and_Sexual_Health_among_Transsexual_Women
6. "What does the scholarly research say about the effect of gender transition on transgender well-being? " https://whatweknow.inequality.cornell.edu/topics/lgbt-equality/what-does-the-scholarly-research-say-about-the-well-being-of-transgender-people/
7. "Fact check: study shows transition makes trans people suicidal" https://www.transadvocate.com/fact-check-study-shows-transition-makes-trans-people-suicidal_n_15483.htm
8. "Mental health and gender dysphoria: A review of the literature" https://pubmed.ncbi.nlm.nih.gov/26835611/
9. "Sex-reassignment surgery yields long-term mental health benefits, study finds" https://www.nbcnews.com/feature/nbc-out/sex-reassignment-surgery-yields-long-term-mental-health-benefits-study-n1079911
10. "Transgender surgery can improve life for most, study confirms" https://www.medicalnewstoday.com/articles/321258
11. "Conversion therapy, suicidality, and running away: an analysis of transgender youth in the U.S." https://scholarship.libraries.rutgers.edu/esploro/outputs/workingPaper/Conversion-therapy-suicidality-and-running-away/991031790600904646
12. "LGBT conversion therapy ineffective and harmful, critics say" https://www.cbc.ca/news/canada/lgbt-conversion-therapy-ineffective-and-harmful-critics-say-1.3101838