The average pay for jobs eliminated in the city during Mayor Delmont’s tenure has been roughly equal every year to the average pay for jobs citywide.
What if the average pay for eliminated jobs is not equal to mean of the payment citywide? If the eliminated job is low end job, to put it to extreme, far lower than average, new average pay will raise up. This supports the conclusion. If the eliminated job is high paid one, to put it to extreme, the highest paid job got cut, new average pay will go down, This weakens the conclusion.
If the statement in D is not true, the conclusion may be undermined. In another word, to make the advertisement more persuasive, constraint like D is in favor.