Should I buy this CPO Car with only 45k miles?

[ard]

I suspect this car was a disaster for the owner, with some very serious issues. The DME replacement and the Cat replacement make me very concerned...couple of weeks chasing that issue...then the possibility that this car will have the 'transmission shifting problem' that is 'normal' for some of the 2007s and people just live with for years- BMW say it is normal so there is no fix under the CPO.

Battery failure at 18k? Can you say 'battery drain' defect? Was it ever fixed??? Or did the owner just give up and buy a trickle charger?

Bunch of leaks at 45k miles...did they fix it?

You are not trusting the dealer to tell you abut the car, right? Or do you believe them when they say "don't worry, it has a cpo to cover anything"...so you can leave it with them for weeks on end and chase the same issues until you, like the old owner, gives up and sells it?

Could be OK, but given JUST this report, I'd pass.