There's oil being consumed in large quantities really fast. But no oil leak, why would this be?

What is your question?

No leak no burning oil smell my car goes through 1-2 quarts a day and it's only a 4 cylinder standard not supposed to use that much for sure. Gas consumption is normal been using 5w 30 synthetic or synthetic blend what's the issue? What's the solution?

What makes this problem better or worse?

It's just a constant issue

How long has your 2001 Isuzu Rodeo Sport had this problem?

2 weeks