'Closely' in the Bible

The young man who told him said, “By chance I happened to be on Mount Gilboa, and behold, Saul was leaning on his spear. And behold, the chariots and the horsemen pursued him closely.

Now please pay attention closely! My whole family is attacking your humble servant! They're saying, "Turn over the one who attacked his brother and we'll put him to death in retribution for his brother, whose life he took. That way, we'll kill the heir also!' They're going to extinguish the only light left in my family, leaving my late husband neither an ongoing name nor a survivor on the face of the earth!"

Everybody from Judah shouted to the men from Israel, "We did this because the king is closely related to us. So why are you angry about this? Have we lived off the king's expense? Have we appropriated anything for ourselves?"