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In the case of child tax credit, an IRA contribution would lower the MAGI. 

Here is how MAGI affects the credit:

Child tax credit may be phased out for taxpayers whose modified adjusted gross income is above the limit for your filing status.

The limits are:

$110,000 for married filing jointly

$75,000 for single or head of household

$55,000 for married filing separately

The credit is reduced $50 for every $1000 of income (or part thereof) over the limit.