However, the position you're referring to is generally what's called the accessory position or sometimes just a position before the engine starts. In many cars this is indicated by a symbol like a lightbulb or a radio icon. In this position, you can use some car accessories (radio, power windows, etc.) without the engine running.
Turning the key (or pressing the start button) further then engages the starter and starts the engine (the "start" or "crank" position, sometimes the same as the "run" position). Once the engine is running, the ignition key will often return to a "run" position (though there's not usually a distinct labeled position for "run"). Essentially, *after* the engine starts the ignition system switches to its "run" state to keep the engine running and accessories powered.
