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Recovering Bitcoin (Dash?) private keys using weak signatures from the blockchain

The problem lies not within Bitcoin or Dash. You need good random numbers to generate unique signatures.

For software wallets this task is delegated to the underlying operating system, and those are quite good these days.

For hardware wallets this depends on the hardware/software/OS used, so there's a) no general answer and it's b) often almost impossible to find out. If you decide to get a hardware wallet I'd wait until someone has reviewed the random number generator and published the results.
 
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