pics

That's a very slanted version of the history. It is much more complicated than that.

https://en.wikipedia.org/wiki/Falkland_Islands#History

Tl;DR, settled and abandoned several times, Argentina's claim depends heavily on a legally dubious hand over of ownership from Spain and proximity. UK's claim is based on ongoing occupation of abandoned islands which it had never agreed their claim to was relinquished or invalid.And the fact that the independent settlers who were living there in the most recent re-settlement rejected Buenos Aires and asked for London's help to secure themselves.

All people who have been living on the islands for near 2 centuries want to be British (see referendum posted on here).

As for the "occupied territory" - well I think the South American natives might want to have a similar discussion about European settlers in Argentina who have also been there several centuries - if you want to unwind one in fairness you need to unwind the other.

Dot point version:

• Uninhabitated prior to European settlement/invasion of South America

• The Falklands remained uninhabited until the 1764 establishment of Port Louis on East Falkland by French captain Louis Antoine de Bougainville and the 1765 foundation of Port Egmont on Saunders Island by Captain John Byron (for clarity - separate parts of the island group, both groups unaware of each other as far as any documentation can tell).

• In 1766, France surrendered its claim on the Falklands to Spain, which renamed the French colony Puerto Soledad the following year. Problems began when Spain detected and captured Port Egmont in 1770. War was narrowly avoided by its restitution to Britain in 1771

• The British and Spanish settlements coexisted in the archipelago until 1774, when Britain'withdraw the garrison from the islands, leaving a plaque claiming the Falklands for King George III. Spain's Viceroyalty of the Río de la Plata became the only formal presence in the territory. West Falkland was left abandoned, and Puerto Soledad became a penal colony. Amid the British invasions of the Río de la Plata during the Napoleonic Wars in Europe, the islands' governor evacuated the archipelago in 1806; Spain's remaining colonial garrison followed suit in 1811

• Since the islands had no permanent inhabitants, in 1823 Buenos Aires granted German-born merchant Luis Vernet permission to conduct fishing activities and exploit feral cattle in the archipelago. Vernet settled at the ruins of Puerto Soledad in 1826, and accumulated resources on the islands until the venture was secure enough to bring settlers and form a permanent colony [NOTE that was NOT a colony beholden to what is now Argentina, it was attempting to set up an independent state]

• Vernet's venture lasted until a dispute related to fishing and hunting rights led to a raid by the American warship USS Lexington in 1831, when United States Navy commander Silas Duncan declared the dissolution of the island's government.

• Buenos Aires attempted to gain influence over the settlement by installing a garrison in October 1832, which mutinied within a month and was followed the next year by the arrival of British forces, who reasserted Britain's rule

• The British troops departed after completing their mission, leaving the area without formal government.[48] Vernet's deputy, the Scotsman Matthew Brisbane, returned to the islands that year to restore the business, but his efforts ended after, amid unrest at Port Louis, gaucho Antonio Rivero led a group of dissatisfied individuals to murder Brisbane and the settlement's senior leaders; survivors hid in a cave on a nearby island until the British returned and restored order

• In the late 1830s, an appeal was made to the Colonial Office in London by businessmen seeing potential profit, for organised settlement of the islands.[49] In 1840, the Falklands became a Crown colony