pet peeve

Pedal

[…]
verb (used without object), pedaled, pedaling or (especiallyBritish) pedalled, pedalling.
4.

to work or use the pedals, as in playing an organ or propelling a bicycle.
verb (used with object), pedaled, pedaling or (especially British) pedalled, pedalling.
5.

to work the pedals of (an organ, bicycle, etc.).

Peddle

verb (used with object), peddled, peddling.
1.

to carry (small articles, goods, wares, etc.) from place to place for saleat retail; hawk.
2.

to deal out, distribute, or dispense, especially in small quantities:

to peddle radical ideas.
3.

to sell (drugs) illicitly.
verb (used without object), peddled, peddling.
4.

to go from place to place with goods, wares, etc., for sale at retail.
5.

to occupy oneself with trifles; trifle.
Something tells me that although you can certainly peddle radical ideas (2) while pedaling, when people misuse “peddle” for “pedal”, that’s probably not what they’re going for.
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pet peeve