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after sonic battle 1, but before sonic battle 3
Sonic Battle happened in 2003.
No as Sonic Advance 2 came out after Sonic Adventure 2 Battle and Sonic Adventure 2 Battle was only made to be compatible with Sonic Advance.
There is no Sonic Adventure 4 Battle, there is Sonic Adventure 2 Battle but that was released 8 years ago.
Sonic Battle was created on 2003-12-04.