SELECT ID FROM aziende WHERE (rag_sociale = "BYRON BAY IMMOBILIARE" OR REPLACE(rag_sociale,'&','E') = "BYRON BAY IMMOBILIARE" OR REPLACE(rag_sociale,'-',' ') = "BYRON BAY IMMOBILIARE") AND prov = 'PA' AND city = "Palermo" AND ID IN (SELECT DISTINCT(ID_azienda) FROM search_engine INNER JOIN categorie ON categorie.ID = ID_categ WHERE nome_categoria = "agenzie")