New Blog Posts Not Going on Front Page

Recent blog posts are not appearing on the front page of my website. Originally, two of the oldest blog posts (from a few years back) only posted. I thought that deleting them might fix the problem and one more blog post post from a year ago shows up. I know all the posts are live on the site otherwise, because people not signed in to WP admin area can see them and they also appear “Post in Sidebar” widget that appears on other pages of my site.

I am using Magazine Premium 2.07 as my theme.