Complex sentence: The Coalition was only authorized to expend funds so long as they cooperatived in the IAMB's oversight of those expenditures, and the Coalition was charged with the obligation to make those expenditures with meaningful Iraqi input.
Split into simpler sentences: The Coalition was only authorized to expend funds so long as they cooperatived in the IAMB's oversight of those expenditures. And the Coalition was charged with the obligation to make those expenditures with meaningful Iraqi input.