Exhibit 3.1

CERTIFICATE OF AMENDMENT TO THE AMENDED AND

RESTATED CERTIFICATE OF INCORPORATION OF

CRESCENT ACQUISITION CORP

February 17, 2021

The undersigned, being a duly authorized officer of Crescent Acquisition Corp, a corporation duly organized and existing under and by virtue of the General Corporation Law of the State of Delaware (the “Corporation”), does hereby certify as follows:

“(b) Immediately after the Offering, a certain amount of the net offering proceeds received by the Corporation in the Offering (including the proceeds of any exercise of the underwriters’ over-allotment option) and certain other amounts specified in the Corporation’s registration statement on Form S-1, as initially filed with the Securities and Exchange Commission (the “SEC”) on February 15, 2019, as amended (the “Registration Statement”), shall be deposited in a trust account (the “Trust Account”), established for the benefit of the Public Stockholders (as defined below) pursuant to a trust agreement described in the Registration Statement. Except for the withdrawal of interest to pay franchise and income taxes, none of the funds held in the Trust Account (including the interest earned on the funds held in the Trust Account) will be released from the Trust Account until the earlier of (i) the completion of the initial Business Combination, (ii) the redemption of 100% of the Offering Shares (as defined below) if the Corporation is unable to complete its initial Business Combination by June 30, 2021 and (iii) the redemption of shares in connection with a vote seeking to amend any provisions of this Amended and

Restated Certificate relating to stockholders’ rights or pre-initial Business Combination activity (as described in Section 9.7). Holders of shares of the Corporation’s Common Stock included as part of the units sold in the Offering (the “Offering Shares”) (whether such Offering Shares were purchased in the Offering or in the secondary market following the Offering and whether or not such holders are CFI Sponsor LLC (the “Sponsor”) or officers or directors of the Corporation, or affiliates of any of the foregoing) are referred to herein as “Public Stockholders.”

“(d) In the event that the Corporation has not consummated an initial Business Combination by June 30, 2021, the Corporation shall (i) cease all operations except for the purpose of winding up, (ii) as promptly as reasonably possible but not more than ten business days thereafter subject to lawfully available funds therefor, redeem 100% of the Offering Shares in consideration of a per-share price, payable in cash, equal to the quotient obtained by dividing (A) the aggregate amount then on deposit in the Trust Account, including interest not previously released to the Corporation to pay its franchise and income taxes (less up to $100,000 of such net interest to pay dissolution expenses), by (B) the total number of then outstanding Offering Shares, which redemption will completely extinguish rights of the Public Stockholders (including the right to receive further liquidating distributions, if any), subject to applicable law, and (iii) as promptly as reasonably possible following such redemption, subject to the approval of the remaining stockholders and the Board in accordance with applicable law, dissolve and liquidate, subject in each case to the Corporation’s obligations under the DGCL to provide for claims of creditors and other requirements of applicable law.”

“Section 9.7 Additional Redemption Rights. If, in accordance with Section 9.1(a), any amendment is made (i) to Section 9.2(d) that would modify the substance or timing of the Corporation’s obligation to redeem 100% of the Offering Shares if the Corporation has not consummated an initial Business Combination by June 30, 2021 or (ii) with respect to any other provisions of this Article IX relating to stockholders’ rights or pre-initial Business Combination activity, the Public Stockholders shall be provided with the opportunity to redeem their Offering Shares upon the approval of any such amendment, at a per-share price, payable in cash, equal to the aggregate amount then on deposit in the Trust Account, including interest not previously released to the Corporation to pay its franchise and income taxes, divided by the number of then outstanding Offering Shares. The Corporation’s ability to provide such opportunity is subject to the Redemption Limitation.”

[Signature Page Follows]

IN WITNESS WHEREOF, Crescent Acquisition Corp has caused this Amendment to be duly executed and acknowledged in its name and on its behalf by an authorized officer as of the date first set forth above.

[Signature Page to Amendment to the Amended and Restated Certuficate]