Regarding style, I don't think you need to necessarily defend why you want to get a PhD. As others have said, almost all SOPs begin with description of research interests, then move to qualifications (i.e. why you feel prepared to do this research), and then explain why this particular program is a good fit (name a couple faculty members you'd like to work with, various research institutes on campus, etc.). You can put in a sentence or two at the end about how this particular program will help you achieve your career goals (usually that you want to conduct research and teach at a university).
Here's a really useful compendium of application advice from various people in the field: https://people.fas.harvard.edu/~jkertzer/prospective.html
If you're on academic twitter, profs often retweet useful advice about applications, dissertation writing, the job market, etc. so that's another great resource (also a huge time suck haha)