The house needs to send the articles to the Senate in order for this be considered a legitimate Impeachment. If they never send it, then it becomes nothing but a House Resolution. Basically it turns into to a censure vote and nothing more. Trump will not be able to be labeled as the 3rd President in history to be impeached!
What does the house resolution say?
(House Resolution 755, One Hundred Sixteenth Congress, First Session)
Resolved, That Donald John Trump, President of the United States, is impeached for high crimes and misdemeanors and that the following articles of impeachment be exhibited to the United States Senate: