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Its a badly drawn H bridge. The output 4 transistors are actually two pairs, each one capable of swinging from earth to +28 V. So redraw the output transistors as two vertical pairs, one each side of the motor. now the Q25/Q26 cross over becomes obvious as the diagonal pairs of output transistors must be switched on at the same time.
Frank
If you have a 24V PSU, then just using a single ended driver will give you +24V on one end of the motor and either 0V or 24 V on the other so a total voltage drive of 24V. If you use a H bridge, at one instance the motor gets a 0V on terminal A and +24V on terminal B, then +24 V on terminal A and 0V on terminal B, i.e. the motor will have 48 V of drive on it.
With no cross over the motor will not run, because there will be a current path to the 0V line but both the transistors going to the +24V line will be switched off.
Frank
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