I think the circuit is not very well drawn as it takes too long to see which signal goes where and why. The worst issue is the opamp chip is drawn as a black box with 14 pins, so you have to decipher how it would look like if the op-amps were drawn as separate 3-pin op-amp symbols.
The mic signal is first amplified with a non-inverting op-amp cirvuit, with gain of 1+(56k/2k)=29, or 29dB, and them fed to ADC positive pin.
That positive signal is also taken into an inverting op-amp circuit to invert it with gain of 10k/10k, or 0dB, and fed to ADC negative pin.
Basically the mic signal is converted into two signals that are (a) differential, (b) balanced, and (c) also symmetric for the ADC input, because that's how the ADC input wants the signal.
Basically that's what goes around in XLR audio cables between audio gear.
In reality the terms are used quite liberally, but each term means a specific thing in the system.