You don't describe your backup scheme, but ...
Generally, when you have append jobs, these are Diffs or Incr jobs, associated with FULLs
The Fulls are generally Overwrite, and the first Diff/Incr is also overwrite, with subsequent jobs APPEND, and you onlt keep them for a limited time, while keeping the FULLs (weeklies) for longer periods
If you are just appending all your jobs to a limited number of tapes, sooner or later, the tapes fill up, and when/if you overwrite them, you lose ALL data currently on them. if this is unacceptable, your only choice would be to get some new tapes and start from the beginning again