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IAVA is eager to start the process by finding a congressional sponsor.

Finding a place for the memorial may be tricky. The IAVA has said it wants to secure a spot on the Mall, but the Commemorative Works Act prohibits new memorials or monuments there, Ms. Kempf said. Other areas of the District and places in Arlington are open to construction.

Ms. Augustine, however, said a memorial on the Mall is important to remind Americans of the sacrifices made by this generation of veterans.

“When we’re thinking about the legacy and the service of those who served in Iraq and Afghanistan, it’s so important to start thinking about that today to ensure their services are honored on the National Mall alongside many of the other wars and that our country never forgets,” she said.