With the proper knowledge, time, and money you can remain anonymous on Bitcoins blockchain. But you can *never* be private because everything is visible to everyone in the world even if they don't necessarily know who you are.

Yes, ideally you would buy no-KYC and Coinjoin often (but that will be relatively expensive and time-consuming). Most transactions are naively traceable because hardly anyone Coinjoins.

If you want anonymity *and* privacy, the future ultimately boils down to making your transactions on a second/offchain layer (ecash, lightning, drivechain, zkrollups, etc), or a privacy-focused blockchain (Monero, LitecoinMWEB, etc). Each thing has it's own advantages.

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