It's just two single-ended (ground referenced) signals and the 0V or ground connection.
Mostly they are symmetrical around 0V / ground, but it's down to the application. eg. Microphone inputs on things intended to work with electret mics typically have a 470 Ohm pullup resistor to 5V (or some equivalent circuit) to power an electret mic capsule - so that has some DC offset, probably somewhere from 1 - 3V depending on the device and mic.
Most low level "Aux" type connections should have no voltage on the signal lines, but could be floating if they have coupling capacitors either end.
The ground will carry the sum of the load currents, but for signal interconnects with eg. 10K or higher input load, the voltages resulting from that should be tiny. Any other ground current superimposed on the cable will cause noise or hum etc, as with a "ground loop" effect.
The only time there could be significant ground voltage without an external cause is when driving a low impedance load, so the current involved causes voltage drop across the ground conductor - eg. such as headphones with a shared ground from both earpieces. Even then, it's probably not audible even if measurable.
In most cases for signal interconnects, electrically it's just treated as if there were a ground, left and right directly between the the two pieces of equipment.
Other interconnects like the DIN plugs and sockets used on older HiFi etc. have the exact same setup, electrically - though sometimes with four signals and ground, eg. the combined tape out & tape return on some gear.
Phono interconnects may have separate grounds / screens in the cable, but again generally the ground are connected together at both ends in the equipment, so no different in function as to ground currents.