Rather than a miracle it's a partially solved engineering problem. Using potable water to transport poo seems rather wasteful, when a low tech composting approach is rather simple.

Or perhaps the sewerage network should be replaced with a multi-purpose, transport network, or some other innovation.

You can process your own waste by pumping air basically through black water, all very good. But at the same time you can just throw a turd on the compost heap if you have the room, and nature will do its thing, and you'll build up your soil.

Education of good habits and some simple practice goes a long way.