7 months

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Sold with 13 keys (13/15) for Steaming Killer Exclusive (3.7):

http://backpack.tf/profiles/76561198129402515?time=1420617600

http://backpack.tf/profiles/76561198129402515?time=1420816030

http://backpack.tf/profiles/76561198072996005?time=1420704000

http://backpack.tf/profiles/76561198072996005?time=1420790400

3.7 - 13/15 = 2.8333 buds

Rounded to 2.8 buds. Presumably offered.

Sold with 3 keys (3/15) for Circling Peace Sign Charmer's Chapeau (2.6):

http://backpack.tf/profiles/76561198043774611?time=1420531200

http://backpack.tf/profiles/76561198043774611?time=1420617600

2.6 * .9 - 3/15 = 2.14 buds

Rounded to 2.1 buds

Sold for 2 buds + 2 keys (2/15):

http://backpack.tf/profiles/76561198043774611?time=1420444800

http://backpack.tf/profiles/76561198043774611?time=1420531200

2 + 2/15 = 2.1333 buds

Rounded to 2.1 buds

Sold for Disco Beat Down Cyborg Stunt Helmet (1.1) + Cloud 9 Jumper's Jeepcap (1.85) + ~2.5 keys in sweets (2/12):

http://backpack.tf/profiles/76561198073746717?time=1423511613

http://backpack.tf/profiles/76561198073746717?time=1423555200

(1.1 + 1.85 + 2/12) * .9 = 2.805 buds

Rounded to 2.8 buds

Sold for 2 buds + 2 keys (2/13):

http://backpack.tf/profiles/76561198022097954?time=1422518705

http://backpack.tf/profiles/76561198022097954?time=1422604800

2 + 2/13 = 2.1538 buds

Rounded to 2.2 buds

Sold with ~1.5 keys in sweets (1.5/14) for Disco Beat Down Bonk Helm (2.7):

http://backpack.tf/profiles/76561198139402099?time=1421654400

http://backpack.tf/profiles/76561198139402099?time=1421740800

2.7 - 1.5/14 = 2.5929 buds

Rounded to 2.6 buds. Presumably offered.