That's not what dodging is, dodging is when you leave at champ select (and you do lose LP for that anyway).
If you afk/dc for 90 seconds within the first 3 minute of the game, then your team has the option to remake the game, with the afk/dc getting counted as a leaver and hence the game is treated as a loss for them, but everyone else has no penalty.
It's unfortunate when life events (laundry or whatever) pull you away from the game, but you are spoiling things for potentially 9 other people when that happens, so you should try to ensure you have a full hour stretch or so where you can be confident you can play in order to avoid LP losses like that in the future.