hi there.. You can definitely conceive with these cysts. All you need to do is to regularly follow up the size of cysts in pregnancy with the help of ultrasound. This is necessary as complications like torsion, infection , rupture of cyst can occur which are manifested as abdominal pain, vomitting, fever etc. But these complications in cysts can also occur even if you are not pregnant. Besides in pregnancy these cysts can be operated during second trimester electively if they get very big or you can undergo an elective Cesarean with removal of cysts together when you reach your term. If you plan to operate the cysts before getting pregnant, there is a risk that you might not conceive after it soon as surgical procedures and handling of ovary can cause fibrosis and scarring in ovary which decreases the fertility. At present your 2cm cyst is not an indiaction to operate you as small cyst usually disappears. 4cm cyst is also not a big one to operate. Your decision also depends on your age and your parity which you dint mention.