Complex sentence: In return the societies receive a formal role in Labour decision-making, and the affiliated members can take part in all-member ballots in certain circumstances: for example, they can participate in the election of Labour Party leaders.
Split into simpler sentences: In return the societies receive a formal role in Labour decision-making, and the affiliated members can take part in all-member ballots in certain circumstances. For example, they can participate in the election of Labour Party leaders.