Ironwood Multi-Strategy Fund N-CSR Certified annual shareholder report (management investment company)

Exhibit (b)

CERTIFICATION

I, Jonathan Gans, Chief Executive Officer and President of Ironwood Multi-Strategy Fund LLC (the “Fund”), certify that:

1. The Form N-CSR of the Fund (the “Report”) fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

2. The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Fund.

Date: July 7, 2023	/s/ Jonathan Gans
	Jonathan Gans, Chief Executive Officer and President
	(principal executive officer)

CERTIFICATION

I, Martha Boero, Treasurer of Ironwood Multi-Strategy Fund LLC (the “Fund”), certify that:

1. The Form N-CSR of the Fund (the “Report”) fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

2. The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Fund.

Date: July 7, 2023	/s/ Martha Boero
	Martha Boero, Treasurer
	(principal financial officer)

2