Hello mam, thanks for trusting health care magic.
definately excess of estrogen
can increase the size of cyst
but in your case it also has complexity in the form of septations so in m opinion best treatment for you at this stage is removal of both the adnexa.
This will also free you from repeated terror of recurrent cysts and other problems related to the same.
In case you have further questions you can consult me on health care magic forum and i will be happy to help
Take care and wish you all the best.
Dr Manisha Jain.