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Aegina.
Yes, Aegina is a greek island in the Argo-saronic gulf.
It runs from the Gulf of Corinth, just east of the city of Corinth in Greece, south east to the Saronic Gulf west of Athens.
In the Saronic Gulf where Salamis island is located .
Troezen is located southwest of Athens, across the Saronic Gulf, and a few miles south of Methana.