It connects because you mentioned their hearts had been "cut". To have been "cut" required they first be saved/born again, by which, they received their new fleshy hearts (per the verses I included). From that, they repented and accepted Jesus. The saving had to come first, because they were "cut" in their hearts BEFORE they repented and accepted Jesus, with the repenting and accepting, coming afterwards. That they could be cut in their hearts meant they had already received the new fleshy heart, because their old hearts of stone could not be cut. So, therefore, salvation had come first to them, which then produced everything associated to salvation, including repenting and accepting Jesus
I believe it is possible to become saved and not necessarily, immediately, manifest the traits of salvation, or to even know it has occurred, because it is God alone who saves, not man. In fact, the traits of salvation, after salvation, will start from nothing, but will continue to grow within us throughout our entire lives.
If I wasn't clear, please let me know and I'll try to clarify.