The phrase "advance uphill" is correct and usable in written English.
It can be used when describing the action of moving forward or making progress in a direction that is physically inclined or metaphorically challenging.
Example: "As we began to advance uphill, the view of the valley below became more breathtaking."
Alternatives: "move upward" or "proceed uphill".
Grueling combat followed as the Austrians made the steep, uphill advance.
This was by far the most grueling of the proposed advances: they would approach the French uphill from them.
There has been extensive, necessary, and uphill work to advance gender equality in science, involving years of sustained pressure through research, activism, and policy engagement.
But two headed goals from striker Nicklas Bendtner brought the Danes level and looked set to leave Paulo Bento's men with an uphill task to advance from Group B. Then with three minutes left, Varela's right-foot shot won it for Portugal.
As the president's degrading comment about grabbing women by the "pussy" shows, we face an uphill climb in advancing an agenda that will challenge the patriarchal tenets linked to violence against women.
Mr. Tancredo, 61, formed an exploratory committee to raise money for what he termed an "arduous and undeniably uphill battle" that would advance his views on overhauling immigration law.
Mr. Santorum is expected to campaign there heavily in advance of the primary, but he may face an uphill battle.
GOP senators met Thursday morning to review the new legislation, and McConnell still faces an uphill path to the 50 votes he needs to advance the bill.
Therefore, the contact angle of the droplet on the downhill side is an advancing contact angle and that of the droplet on the uphill side is a receding contact angle.
With the House in Republican hands, Mr. Obama has an uphill struggle simply to deal with various spending deadlines, much less advance a proactive agenda.
