This is a WordPress page (not blog post), how do I remove this "X days ago" text from SERP?
I looked for answers on Google and all of them are for blog posts, not pages
Google can pick up date from anywhere.
You can use some plugin to remove date from blog post, but if you're using some sitemap plugin like yoast then they have inbuilt date is given, so google can use that date in search snippet. In short to remove the date, then don't display date anywhere, where googlebot crawl the webpage.
The latest date (Like two days ago or 13 April 2017) helps to increase CTR from search, because most of user like to see fresh result. So I think it's benificial. But if you want to remove that, then please ask specific question on wordpress.stackexchange.com like how to not display date on blog post and second how to remove date from yoast, all in one seo, or Google sitemap plugin. Or Develop own plugin which did not display date on sitemap.