To the facts:
The landgericht dismissed the action.
Therefore, the defendant may also prevent statements that fall within the borderline of legality. It should also be taken into account that posts that may be perceived by a large number of other users as extreme, unnecessarily provocative and intimidating may cause the other users to stop using the social network. This would then have a negative effect on the exchange of opinions intended by the defendant and its business model. Therefore, the defendant cannot be generally prohibited from making deletions and blockings, even if these do not exceed the limits of permissible expression of opinion.
The defendant does not have to make its network available for hate speech, even taking freedom of speech into account.