Can I set a super low gas price, and wait months or years for gas price to drop? Like, is there a time limit?

I have a small amount of ETH in a few different wallets. Like $10 or $20 worth. I want to send that ETH to my main wallet, and I don't care how long it takes.

Let's say I set the gas to 10 on the transactions. And lets say gas doesn't drop that low for 15 months. Will those transactions just patiently wait there for 15 months until gas prices drop that low? Or will they time out or something?

I won't be using these wallets for anything, so the pending transactions won't get in the way of other transactions.