Suppose you have a FULL backup made several days ago. (ie. 7 days ago). You also have a Maintenance Plan that backs up tlogs every hour. However, it also deletes the tlogs backups older than two days.
Can you restore database to the current time with tlog backups missing, since all tlog backups were deleted that were older than two days?
No. All tlogs are needed to restore the database to the current time.