Security/Restrict access to old posts

I am trying to implement a security scheme where anyone can read posts (or what I am calling “articles”) from the previous 30 days but only registered users (subscribers) can read posts that are older than 30 days. Ideally, the age of when a post converts to restricted access could be adjusted from the admin panel from 30 days to some other time span.

The titles of posts older than 30 days would still be available to everyone but users must login before they can view the content. This is to encourage users to register so that they can see the posts older than 30 days.

Are there any plugins out there that do this or something similar? Can someone with plugin experience point me in the right direction? It seems like I’m wouldn’t be the first one to want something like this. Thanks!