'Themselves' in the Bible

Whereas you saw the iron mixed with miry clay, they shall mingle themselves with the seed of men; but they shall not cling to one another, even as iron does not mingle with clay.

I, Daniel, alone saw the vision; for the men who were with me didn't see the vision; but a great quaking fell on them, and they fled to hide themselves.

At the end of years they shall join themselves together; and the daughter of the king of the south shall come to the king of the north to make an agreement: but she shall not retain the strength of her arm; neither shall he stand, nor his arm; but she shall be given up, and those who brought her, and he who became the father of her, and he who strengthened her in those times.

In those times there shall many stand up against the king of the south: also the children of the violent among your people shall lift themselves up to establish the vision; but they shall fall.

Now when they shall fall, they shall be helped with a little help; but many shall join themselves to them with flatteries.

Many shall purify themselves, and make themselves white, and be refined; but the wicked shall do wickedly; and none of the wicked shall understand; but those who are wise shall understand.