Complex sentence: Hereafter the relationship between both societies became cemented, with many papers being printed in Philosophical Transactions and for a number of years the society flourished and circulated a number of papers from various academic fields.
Split into simpler sentences: Hereafter the relationship between both societies became cemented, with many papers being printed in Philosophical Transactions. For a number of years the society flourished and circulated a number of papers from various academic fields.