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To implement filter by art and artist go to Products > Attributes and create attribute Art and attribute Artist with the necessary terms. After that go to Products > edit product and apply appropriate attribute https://docs.woocommerce.com/document/managing-product-taxonomies/#section-6
After that you’ll be able to add the WooCommerce Product filter widgets to the Shop widget area (Appearance > Widgets) to allow your users to filter products by the art and artist like there are filters by size and color.
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