In JavaScript, you can't directly add an event listener to localStorage. However, you can listen for storage events on the window object. The storage event is fired when a storage area (localStorage, sessionStorage) is changed in the context of another document.

Here's an example:

window.addEventListener('storage', function(e) {
  console.log(e.key, e.oldValue, e.newValue, e.url, e.storageArea);
});

In the above code:

• e.key is the key that was changed.
• e.oldValue is the old value of the key.
• e.newValue is the new value of the key.
• e.url is the URL of the document where the change occurred.
• e.storageArea is the Storage object that was changed (localStorage or sessionStorage).

Please note that this event is not fired for changes made in the same document that the listener is in. This is due to the fact that the storage event is only fired when a storage area change is committed in another document, from the same origin (same domain, protocol, and port).

If you want to listen for changes in the same document, you'll need to manually fire a custom event every time you change localStorage.

// After changing localStorage
localStorage.setItem('key', 'value');

// Dispatch a custom event
window.dispatchEvent(new Event('localStorageChanged'));

// Listen for the custom event
window.addEventListener('localStorageChanged', function(e) {
  console.log('Local storage changed!');
});