How close could a binary pair be to our solar system without having already been detected?

Self-explanatory. After my previous question about a sextenary star system and a black hole, I decided to dial back to just two parent stars and a planet. How close could they be if we in the real world still haven't detected them by the early to mid-21st century? The 23rd? I'm assuming they'd have to be farther than Alpha Centauri A and B, since they're the closest stars to us period and were "officially" discovered back in 1592.

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How close could a binary pair be to our solar system without having already been detected?

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