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You can process multiple files at the same time.
This is called batch processing.
You can use the Auto Color Method with Photoshop Elements.
Go to Batch Processing - Auto Color.
If you're using one of the adjustment layer methods (Channels Method and Hue/Saturation Adjustment Layer Method), you can drag the adjustment layer into the panel bin (palette bin) of the other photographs.
The layer will make the same changes on the other photographs.