Correct Answer: run out

Solution : The correct choice is the third option.

The most appropriate option to substitute the underlined segment in the given sentence is:

"The lease of our house has run out ."

Run out : It means to expire or come to an end, which fits the context of a lease term coming to an end.

The meanings of the other options are:

• Run into: It means to collide with or meet unexpectedly.
• Run apart: It means this phrase is not a suitable substitute for "run down" in the context of a lease.
• Run up to: It means to approach or reach.

In the context of a lease, run out is the appropriate choice, as it indicates the expiration or coming to an end of the lease period.