What is this? What would a redacted subset be?
That would be the entire Bible, minus the books removed by the reformation.
Redacted means "edited." For example, the way the KJV translates hysteremata in Col 1:24 , when compared to they way they treat the cognates elsewhere suggests that they translators had an agenda. They didn't just translate, the edited, -- redacted.
Subset mean a collection or group (even one with no members) which does not contain all the members of a larger collection or group. The OT adopted by Luther and most non-catholic/non-orthodox does not contain all the books in the OT which was in use up until Luther's time. The protestant Bible is therefore a redacted subset of ours.