no
you cant battle Cynthia in soul silver. Even though she appears in the Arceus event, You cant battle her.
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In HeartGold and SoulSilver, she does not battle you - which might be one of the reasons why she doesn't have a starter pokemon. Instead, she has a Marill.
She is in the Sinjoh Ruins. This can only be accessed with bringing an event Arceus to the Ruins of Alph.
You cannot battle Ash from the TV series in Pokémon SoulSilver, you can only battle Red on Mt. Silver in SoulSilver.he is on the top of of mt silver
You use it to get out of a cave
If you mean battling in double mode you have to run into a couple and they will battle you double