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For discover cards, the CLI approval seems to be limited to 1 per a statement cycle. I requested a CLI in the last month once and it was accepted. A few days later, my second request was rejected. I waited for the next monthly statement, and I requested a CLI again and it was accepted. Each time ~1200-2000$ increase. The card is starting with a small CL, growing slowly while it reaches an excellent level in a long term.
I moved your post here because the thread you posted in is amost a year old. Congrats on the Discover CLIs.