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Using PWM works fine for some solenoids but you have to keep the frequency in a region not too high to generate core losses and not too low to keep the current almost constant. 1 or 2kHz is a good starting point. And YES, you can decrese the current after latching, down to half the initial value (some testing is necessary here). Do not forget using free whelling diodes in parallel with the coil.
Regards
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