hi, we've had septic tanks at our last 2 houses, both brick-built. (plastic ones didn't come in till relatively recently). there are thousands still in use all over the UK.
they are no problem provided you respect their workings. nowadays you can buy dishwasher, washing-machine, toilet-cleaning stuff that is safe to use with a septic tank, but always check first.
DONT EVER put down Dettol, chlorine-based bleaches, water from washing decorating brushes, or any "female" items as mentioned above or you will block it for sure.
a few questions you need to ask, though: when was it last emptied and how much did that cost? does it need regular emptying and how often? has it ever given any blockage problems and how much did that cost to sort out?
and about the "shared" aspect: what are the arrangements for paying for any work needed, ie does one household arrange for emptying and pay, and then collect a share from the other household? if so, have there ever been any problems? can you get to meet the neighbours?
where is the tank situated? on your land or on neighbours'? what about access for maintenance/emptying? some arrangements for shared tanks involve right-of-access, some don't.
I believe modern systems have to have licences from local water authority, and evidence as to where water eventually soaks away to, whereas with older systems these are rarely in place. whether that's a problem will depend on your solicitor's judgement.
you could always get someone from a local sewage-disposal firm to look over the setup and tell you what they think about its general condition.
Water rates are much lower for people on septic tanks, you have to balance this against the cost of maintenance if the system is dodgy.
sorry if this sounds negative; we have had no probs ourselves.
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