Yes. Of course.
What would happen was that memos would go out, declaring the projects that were going to be reviewed at the upcoming project review committee. The board members would then indicate whether there was a conflict and write in response to that memo if they were in conflict. The material would not be sent to them—those who were in conflict or perceived conflict—and they would be excluded from discussions at these meetings.
In the case of the board meetings, the members who declared those conflicts would leave the meeting at the time the projects were reviewed and recommendations were made, and would come back into the board meeting when they were complete.
In all the cases when I declared a perceived conflict, I removed myself from the board meeting and came back in after the decision had been made and recommendations had been made to the board. This would happen with all board members.