How do I get these records to stick?

Louise
by Louise

These were my father's records and I remember seeing them my whole life. Instead of leaving them tucked away, I finally framed them a few months ago -- bought the frame and gold background board and adhered the records to the gold with folded Frog Tape. Now one has fallen out of place. I don't want to harm the records with whatever I use to adhere them so am not sure what I should use. I placed what I thought was plenty of backing cardboard behind them to help hold them securely, but maybe I didn't. Can anyone suggest a better adhesive material or should I first try adding another piece of backing cardboard?

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