I live in a 50s semi, which is built like tank. Despite this I can hear our neighbours, but not at the level you can.
Few times a week while winding down in bed, we have to put up with their sex noises which can only be described as a screaming pigeon being attacked by a fox. I normally play some music when this happens. Outside of this, unless they are talking at a loud level we cannot hear them.
During summer we always sleep with a fan on, meaning we cannot hear anything at night. You could look at a white noise machine.
Unfortunately a detached house round here starts at around £450k.
We had this problem with a neighbour next to our spare bedroom, it soon stopped when one of less than sensitive friends stayed over and when she saw the lass from next door in the garden the following morning she casually remarked on how much fun she must have been having last night. Never a peep was heard again.