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The horizontal sweep is not folding, but is stopping for a short time when the drive is misadjusted. What happens is that the flyback pulse occurs at the right of the picture, then the sweep current sawtooth for the left side of the picture comes from current reversing through the damper. If the reverse current ends before the horizontal output turns on again to make the right side sweep, the beam just stops in place until the horizontal output turns on. The correct horizontal drive waveform will turn on the horiontal output a short time before the damper stops conducting, so the sweep doesn't stop and there is no bright line.
If a flyback/yoke circuit could be lossless, the point where the line might appear would be centered left and right, but energy is lost in the resistance of the coils and by generating the high voltage, the energy left after retrace is less than was put in by the horizontal output, the left side sweep current through the damper does not last to the middle of the scan, and the horizontal drive has to turn on early and supply more than half the sweep, from somewhere left of center to the right edge.
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