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Once a TL is excluded due to age, they can never return to your CR. But, yes they can be sold over and over again and whoever has them can continue to attempt to collect.
I would work to get them cleaned up if it was me. 2014 is a whole year (or more) away. Are they all medical? What state are you in?
Yes, they can be sold and another CA can add them back on *if* it's still within the 7 yrs since DOFD. The fact that it's sold to another CA will not reset the DOFD if that's what you are worried about. They will still fall off in 2014 even if they are reinserted. After they have aged off, if unpaid, a CA can still attempt to collect but cannot reinsert in your CR and may not be able to sue depending on the SOL of your state.
A debt can be collected on until it's paid. The SOL and CRTP exclusion does not stop this. They just can't sue you or report it to your CR, but they can still try to collect. On a side note, there a couple states that are exempt to this. Once it's past the SOL, they are not allowed to collect.
who has the debt currently?
SOL is 10 years in LA. Open ended accounts are 3 years.
Assume you app for a mortgage, and assume the lendor simply asks if you have any old, unpaid delinquent debt.
The fact that it has become excluded from your CR or that SOL for legal action has expired does not mean the debt is gone.
What you obtain by "waiting it out" is a limited way to shield the delinquent debt from others by a simple pull of your CR.
You take your chances.