mushroom coral Fungia and Mussismilia brain coral

Here are two magnificent corals, one is called Fungia or mushroom coral and would come from the Indian Ocean and the other would be a Mussismilia braziliensis also called brain coral (without certainty, I am not at all a coral specialist). They date from the 60s or 70s. I imagine and hope that today they are protected and that their harvest is completely prohibited everywhere in the world! I left them as they were without even daring to clean them but I think they were kept in a display case because they do not even seem dusty. They are in good condition, no shine, just two "dirts" (original?) under the Mussismilia and two small dark colorations in the gills of the Fungia. The Fungia measures 10 cm in width, the second 11 cm in width.