IF they are doubling any input voltages from 7-18, then they have in fact added a full voltage doubling circuit. That would be a lot of circuitry to add in a pedal.
Inside their Pettydrive 3. Seems they're not afraid to put a lot of circuitry in a pedal.

Quoting their website re: how they do it:
"36 Volts of High-Headroom Power
All CORE Series pedals feature an inverting charge pump, usually reserved for studio rack gear, that first inverts and then doubles your power source, allowing for up to 36v of power. That's 4X the headroom of most standard guitar pedals!
This means you can plug in a a 9v power adapter and get 18v of headroom, or plugin a 18v power adapter for 36v of headroom.
Higher headroom empowers a pedal's op amps to operate at their theoretical maximum, providing the cleanest, least distorted signal possible. By doing so, tone can be dialed in further down the circuit providing unprecedented control when you want to push a signal into overdrive, distortion and fuzz.
The higher headroom in Pettyjohn pedals also allows you to stack them in your pedal chain with little-to-no tone suck."
I figure this is why their pedals are expensive, though not much worse than other high end pedals that look a lot simpler inside, and less than pedals like the Origin effects stuff. So to me, these are an excellent value.
On a personal note, I've usually driven their pedals with 18V, though I havre enough pedals on the board running that way that my power supply is really challenged. So now I run a few with only 9V. I need to up my power supply game to take full advantage of the headroom in all their pedals.
Hopefully the above info helps you wrap your head around what they're doing.
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