cyril7: Hi, Dons example is a little over complicated, Cyril
Opps...
I was looking at street cables for my area recently, I didn't even consider pillar follow on.

Do I get my free chocolate fish now Cyril?
Edit: I should add that there can be joints in any of the pillars leading up to your house on your pair as well. So testing the pair properly and doing a proper visual inspection may help.
As I'm sure you can guess... a busy faults tech is not going to want to spend all day checking every single pillar to find this fault... but it may come to that to fix it depending on how many decades of poor care and attention has gone on down the road :(