What episode fuses blue eyes ultimate dragon and black luster soldier?

There's no episode in the Yu-Gi-Oh! anime where Blue-Eyes Ultimate Dragon and Black Luster Soldier are fused. While both cards are extremely powerful and popular, their fusion isn't a part of the card game's mechanics.

Here's why:

* No Fusion Material: The cards don't have any connection in their summoning requirements. Blue-Eyes Ultimate Dragon is a fusion monster with three "Blue-Eyes White Dragon" monsters, and Black Luster Soldier is a normal monster summoned from the hand.

* No Existing Fusion Monster: There isn't an existing fusion monster card that combines these two legendary creatures.

It's possible that a fan might have created a fan-made fusion monster, but it wouldn't be an official part of the Yu-Gi-Oh! card game.