First, Chase needs to give you the bonus points. They will appear on your monthly statement along with the points you earned from regular spending. As long as you hit the spending minimum to qualify for the bonus a few days prior to your account's monthly closing date they should appear on that month's statement. (If you hit it very close the the statement close date they may not appear until the following month's statement.) Then, Southwest will post the points in your Rapid Rewards account. This generally happens a couple of days after Chase issues the monthly statement. (Although, as noted, it's possible but unlikely that they could take up to 8 weeks.)
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