Past SOL debt still on your credit is within the purview of the FCRA.
Basically, there's the date of first default that the CRAs go by. The creditors have 7.5 years to report the information on your credit report before it by law must fall off.
A lot of people get confused about SOL. There's basically three. SOL on litigaiton, varies by state, and each state has different ways of figuring up tolling and other misceallany related. That's the SOL you're talking about, you may see it on here as SOL-C
Then there's SOL for Reporting (SOL-R) which is 7.5 years from date of first default (DOFD), basically the last time the account was in default before being brought into a positive standing (if it ever was reinstated into a positive standing). This is where the usual "bad items on your CR fall off in 7 years" comes from. (Judgements and Bankruptcies have a bit longer to be reportable, but in general, the 7.5 is the hard and fast rule for everything else.)
Finally, there is the statute of limitations for filing on the consumer side, this is for each individual statute, the one most commonly referred to here is the 1 year from the cause of action timeframe to file for FDCPA violations.