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As long as data does not need to be recovered straight from the NAND itself this should not be overly expensive as long as you pick a smaller independent lab (so skip Ontrack, Secure Data, Drive Savers etc.). If card (or hard drive) is unstable use ddrescue to clone/image or let a data recovery specialist do it. You image/clone the patient drive, then put that aside and work with the image from that moment on.
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Any decent file recovery tool should include such an option IMO. It is always a good idea to create a sector-by-sector disk image. In situations where standard file recovery does not cut it, it depends greatly on situation at hand what software to use. Only $20 lifts this 4000/folder limitation. For PC, Linux and Mac DMDE free demo recovers 4000 files per session from one folder. Photo recover really is just file recovery mostly, so any generic file recovery tool will do.
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