Max number of songs in Auto DJ library

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Is there a max number of songs in the Auto DJ library?  I have 2000 songs loaded into the library and moved into the rotation lists and it seems that only a small percentage play when set to random.  I do understand that random is not a leveled pick but I see the same songs over and over and many others never play.  We have been running for more than 4 months and the pattern continues.  IT seems as though a subset is picked and then the randomization is done within that subset.  Anyone see the same issue?

Thanks,
Songwriters Island Radio
Is this a "gut feeling" or have you actually analyzed your logs and confirmed that certain songs have been played more often (and/or other songs have not been played at all) over the course of this 4 month period?

If you can provide logs and numbers backing this up I'd certainly be interested in checking it out.