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The assets are not stored on your device and to be technically correct they are not stored anywhere. Some people seem to think when you buy a coin, it is safely stored in a database on the blockchain. In reality assets don’t exist in a database. In fact they don’t exist anywhere.
What is recorded in simple terms is just a purchase receipt that says I bought x amount from this address. When you sell the asset,, the sales receipt says you sent x amount of crypto to an address. Think of the address as an account number. Anyone who has the cryptography key that created that address can spend it.
You can buy as much crypto as you like it will not affect storage.