Duly (adverb)

1. In a manner that is appropriate or suitable for the purpose or circumstances; properly.
2. At the proper or appointed time; punctually.

Origin:

From middle english duliche, dulich, from old english dǣlic ("fitting, suitable, proper"), from dǣl ("part, portion") + -lic (adjective-forming suffix).

Examples:

1. Duly elected officials take office on January 1st.
2. The jury was duly sworn in and the trial began.
3. She was duly impressed by the size of the building.
4. I will duly consider your proposal.
5. The report was submitted and duly noted by the committee.