What ga'al means
At its core, ga'al means to redeem by acting as a kinsman. The word carries a specific social weight that the English 'redeem' has almost entirely lost. In ancient Israel, a go'el was a near relative who stepped in when a family member could no longer hold their own. If a man fell into debt and had to sell his land, the go'el bought it back. If a man died without sons, the go'el married the widow and carried the family name forward. If a man was killed, the go'el pursued justice on his behalf. The action was never abstract. It was always personal, always costly, and always grounded in blood relationship.
The word moves through the Old Testament like a thread. Boaz acts as go'el for Naomi and Ruth, purchasing the land and taking Ruth as his wife. The price was real. The obligation was real. Nobody sent a check from a distance. The redeemer showed up.
God himself wears this title. In Exodus 6:6, he tells Israel that he will ga'al them out of Egypt. He is not acting as a distant benefactor. He is acting as the nearest relative, the one with both the right and the responsibility to intervene. Isaiah returns to this title again and again, calling God the go'el of Israel, the one who steps into the ruins of the family and pays what it costs to bring them home.
What makes ga'al so powerful is that it is never mercy without obligation. The go'el redeems because the relationship demands it. The rescue is personal before it is theological.