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A product can be classified in different trees and several categories.
To classify an existing product :
On the left panel, there is the list of trees available in Akeneo. When the tick is green, the product is classified in one or more categories in the tree. If the tick is grey, the product is not classified in the tree.
On the right-hand of the name of trees, there is the number of categories where the product is classified. For example, in the screenshot above, the product is classified in 3 categories of Master Catalog, and 1 category in the Europes Sales Catalog.