Resolving a deep national and spiritual crisis required a practical, organized legal mechanism that would not delay the general public. To address the widespread issue of intermarriage, a clear action plan was established with a defined division of authority and a strict timeline.
Central to this plan was the role of the leadership. The primary approach among commentators is that the leaders remained in Jerusalem to represent the people, acting on their behalf so that the entire nation did not have to stay behind [מלבי״ם, ביאור שטיינזלץ]. Other perspectives suggest this simply refers to the officials appointed to govern the public [מצודת דוד], or that the leaders stood directly alongside the entire assembly during the proceedings [רש״י].
The legal process specifically targeted men who had brought foreign, idol-worshipping women into their homes [רש״י, רלב״ג, אבן עזרא, מצודת דוד, ביאור שטיינזלץ]. Rather than handling the situation all at once, these men were required to travel to Jerusalem at specific, scheduled times set in advance by the leaders or the court [ר' סעדיה גאון, מצודת דוד, מצודת ציון, ביאור שטיינזלץ]. To ensure strict compliance, the elders and judges of each local city accompanied them. Their role was to supervise the process and verify that every man who was summoned actually appeared as required [מצודת דוד].
The ultimate purpose of this national undertaking was to soothe God's anger and remove it from the people [רש״י, מצודת דוד, ביאור שטיינזלץ]. The leaders were expected to persist in their mission in the city until the matter was completely finalized and resolved [אבן עזרא, מצודת דוד]. In a broader sense, however, this specific initiative was part of a wider goal to repair all the spiritual failings of the generation, ensuring that absolutely no flaw remained that would provoke God's anger against Israel [מלבי״ם].