Privacy
Choose who sees each post
When you post, you now choose who can see it: Connections (always the starting choice), People at my events (also people who were at an event with you), or Public. Each post shows its choice, and you can change it later from the post's ⋯ menu.
Public posts can be seen by anyone on the web and shown by search engines, with your name. They are only possible if you are 18 or older and your profile page is public. If you make your profile private again, your public posts go back to Connections. Narrowing a public post takes its page off the web at once; search engines drop it over time. Comments and likes stay with your connections, and blocking still hides everything both ways.