Albert Barnes Commentary Jeremiah 36:7

"It may be they will present their supplication before Jehovah, and will return every one from his evil way; for great is the anger and the wrath that Jehovah hath pronounced against this people." — Jeremiah 36:7 (ASV)

They will present their supplication - i.e., humbly. The phrase also contained the idea of the prayer being accepted.