The rules change, first proposed by the White House earlier this month, was announced by the Health and Human Services Department on Monday evening. The change exempts “self-administered, self-insured group health plans” from the law’s reinsurance fee.

The shift will raise the cost of the tax for those who do pay to $44 a year. It had previously been $42. In essence, the change is forcing those who don’t get the exception to pay an extra $2 for those who do.

The phrase “self-administered, self-insured group health plans” would include multi-employer plans. These are also known as “Taft-Hartley plans” and are widely provided by organized labor groups to their members.