Unlike software wallets that require an internet connection, hardware wallets are an offline storage method. That is why they are also called cold wallets.
You can use a software wallet offline, all you need do is set it up in an airgapped, once you generate the keys offline you must ensure they are never connected to the internet, as for creating, tracking balance and broadcasting tx's, you can do all that on an accompanying online watch-only wallet.
The process of verifying transactions is one of the important advantages of hardware wallets, the way their transactions are recorded.
The way transactions are validated, verified and recorded on the blockchain has nothing to do with the wallet you use to broadcast the tx, as long as you make a valid tx, it will be validated by nodes, confirmed by miners and added to the blockchain.
These types of wallets are designed in such a way that transactions are not recorded without your final approval. So no one can make any transaction without access to your hardware wallet.
For anyone to create a tx from your wallet, they must have compromised the seed phrase or private keys, if the private keys to your hardware wallet is exposed, surely an attacker will broadcast a tx and miners will comfirm it.
Also, these wallets allow you to manage and control several currencies at the same time.
Not all hardware wallets are multi-coin wallets, the same way there are some software wallets that are multi-coin wallets, like Unstoppable wallet.
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