Stealing generals usually adversely affect relations due to him being on their territory (military force on soil without military access lowers relations). However, this isn't an issue as usually I only steal the general if I'm at war with the faction. It's best if you can steal the guy out of a city, have him hire a bunch of mercs and then turn around and siege the city. Usually, you can take it without the enemy even having a chance to relief it.
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