The president's son, 51, made his Big Apple debut as a professional artist at the Georges Berges Gallery in the SoHo district of Manhattan.
Anyone desiring to view the 15 works of art must make an appointment and be vetted in advance.
The show opened on Saturday. It was unclear how long the exhibition would last, though the gallery website explained that another artist started their show on the site on November 18.
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Biden's wife, Melissa Cohen, a South African documentary maker, was seen at the gallery on Saturday. On Sunday, just three people showed up to see the works.
When asked if there would be a formal show opening, Berges, who currently represents 16 artists, told The New York Post: "I don't know."
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Biden is described on Berges' website as "a lawyer by profession" who "now devotes his energies to the creative arts, bringing innumerable experiences to bear."
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The gallery declares: "The results are powerful and impactful paintings ranging from photogenic to mixed media to the abstract."
"His chosen substrates are canvas, yup paper, wood, and metal on which he affixes oil, acrylic, ink along with the written word; all of which creates a unique experience that has become his signature."
Biden started painting as part of his recovery from addictions and has turned to his canvases to deal with the pressure of being central to efforts to impeach Donald Trump in 2019.
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Joe Biden has been consistent in his support for his son's efforts.
Though ethics specialists have expressed alarm, signaling that anyone wanting to curry favor with the president could purchase a painting to impress.
The White House has announced that the buyers will be anonymous to allay fears. Although, few still think that the identity of the purchasers will not remain a secret for long.
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Sources say lawyers are vetting individuals who want to see Biden's paintings at Berges' Manhattan gallery.
"It is a whole process to get in to see the Biden show. You have to call the gallery in SoHo, and they are vetting people carefully," the source told the Post.
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"They laid down rules that thorough vetting of any collector has to be done by a team of lawyers."
Officials have not revealed who chose the lawyers or the purpose behind the legal vetting.
On Sunday, it was revealed that Berges was snapped wearing a Camp David hat after Joe Biden visited the presidential retreat – sparking questions whether the controversial gallerist joined the first family there.