What we actually do about it
Injection. A crack in a poured wall that is stable but wet gets filled from inside, under pressure, with a resin that goes all the way through the wall rather than sitting on the face of it. This stops water. It is not a structural repair and should not be sold as one.
Reinforcement. A wall that is bowing under soil pressure needs the load taken somewhere. Depending on how far it has gone and what the wall is made of, that is carbon fibre straps bonded to the inside face, steel beams fixed top and bottom, or in bad cases rebuilding the section.
Excavation and relief. If the pressure pushing on the wall is water in the soil, reinforcing the inside without dealing with the outside treats the symptom. Sometimes the right answer is to take the earth off the wall, waterproof it and give the water somewhere to drain.
Underpinning as a repair. When a footing has settled because it is bearing on fill, disturbed ground or soil that was never adequate, the fix is to take that footing down to ground that will carry it — the same technique used to gain headroom, applied for a completely different reason.