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my subjective comparison is that magnets do create some of this effect. this may have something to do with the aqueous solutions i use them on. the effect i get is not nearly as pronounced as it is with magnascent.
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If you feel like testing again then try adding white Sugar to your Lugols. Then either leave it with magnets attached for a few days or run DC current around it via water bath or coiled wire (best and fastest)..
When I used to charge homeopathies via the EPFX I started with alcohol solution but quickly found the addition of Sugar to be the best way to hold the magnetic print for the longest period..