It is not unusual for partnering nonprofits recommend the families and children to be the recipients of these gifts at Christmas and at the start of the school year (programs like "Stuff the Bus"). So even though the organization organizing the program of gifts has no evidence of the LMI status of the families, the partnering nonprofits have vetted the families and can provide confirmation that any family recommended has met an income test.
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Societies that do not find work in and of itself "pleasing to God and requisite to Man," tend to be highly corrupt.