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Desert Wind Rage's passive effect is that you deal 5 + Strength modifier damage to all enemies within 5 squares at the start of each of my turns. If I have the feat Deadly Rage (Player's Handbook 2) and/or the utility power Strength of Enduring Pain (Primal Power), will their increases to damage effect the Desert Wind Rage aura?

I.e., 5 + Strength modifier (6) + Deadly Rage (2) + Strength from Enduring Pain (10) = 23 damage to all enemies within 5 squares.

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No, Desert Wind Rage's passive effect does not benefit from damage boosters

From PHB2, pg184 (emphasis mine):

Deadly Rage

Benefit: You gain a +1 bonus to damage rolls while raging. ...

From PP, pg18 (emphasis mine):

Strength of Enduring Pain

Effect: Until the end of your turn, you gain a bonus to damage rolls equal to the ongoing damage...

Both give a bonus to damage rolls. Desert Wind Rage's passive effect does not roll damage: 5 + Str is a static value. Thus, Desert Wind Rage's passive effect does not benefit from Deadly Rage or Strength of Enduring Pain (or almost any other damage boosters; pretty much all of them increase damage rolls).

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