How to use "existed" in a sentence

Sentences

Indeed, the most ample evidence to the contrary has all the while existed and been open to their inspection

For a long, long time, they forgot that death existed, and they explored the delicious, silken surfaces of love, and it seemed to them, in those shining hours, that they would both live forever.

strange parallels existed between this gruesome tale and the recent ugliness in her own life.

At least half of the people who worked for it did not even realize it existed; some thought they were employed by the FBI; others were sure they worked for the CIA; and still others believed that they were in the hire of various branches of the Treasury Department, including the Secret Service