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Your apparent issue is the difference between a currently derogatory account and an account with derogs.
Acounts with a creditor have both a current status and a payment history profile that record derogs.
When a previously delinquent account is paid, its new, current status is no longer one of current delinquency, as it is updated to Paid or Settled.
However, the payment history profile records and retains prior monthly status, and prior delinquencies are still shown, effect scoring, and make the account "derogatory" until the prior derogs are excluded or deleted.
Collections, regardless of whether Open or Close, Paid or Unpaid, are always derogs in scoring.
While the debt is no longer delinquent once paid, they are still derogs.
All your cards are considered baddies....and the Collection Agency accounts are also bad, but in a different category.
I would NOT suggest applying for anything right now. It sounds like you have all negative TradeLines. (Not giving you a hard time...I started my repair journey in 2002 with 1 good & 13 bad).
I would bite the bullet & buy all 3 here & print them out. I personally like buying them separately & not the 3-in-1 so I can lay them out side by side & check against each other & see how different accounts are reporting.
Work on repair before trying to rebuild.