When Roomba deletes a question, that would be great if the question always gets added it to the “deleted recent questions” list (or some other list). As of now, questions older than 60 days that Roomba removes do not appear in the list, so users who forget to keep tracks of links to their questions externally won't have a link to their prior question.
This is now status-completed, as the "recently deleted questions" page in one's user profile now lists all questions that were deleted within the last 60 days, regardless of when they were posted.
This was announced in February 2020, but that announcement was deleted as it was posted to the wrong question. Unfortunately, no non-deleted announcement exists of this change.
I understand that your motive for this is that Roomba often deletes old questions, even over year old, and the OP has no clue what happened to his/her question.
While valid point, the "deleted recent questions" is not the proper place in my opinion, since year+ is really not "recent".
Better mechanism in my opinion would be sending notification when a question of yours is deleted, no matter for what reason, which is already a popular feature request: Notice of deletion.
Roomba deletions appear in the "recently deleted" list available in the 10k tools (example). This is a list of deleted posts (both questions and answers) excluding self-deletions, most recent first. I think there's a cap to the number of entries, as I've sometimes seen the list stop way before the selected time range would suggest, but I've never dug into that. Unless your site has a lot of deletions, you should be able to see deletions for the last several days at least, up to 30 days on less-deletey sites.